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Finding the Fourth Proportional to 5,646,787.92, 7,792,561.42 and 3,068,462.54

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Solution

The fourth proportional to 5,646,787.92, 7,792,561.42 and 3,068,462.54 is: 4,234,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646,787.92 : 7,792,561.42 = 3,068,462.54 : x
  2. Step 2: Convert to fraction form
    5,646,787.92/7,792,561.42 = 3,068,462.54/x
  3. Step 3: Cross multiply
    5,646,787.92x = 7,792,561.42 × 3,068,462.54
  4. Step 4: Simplify right side
    5,646,787.92x = 23,911,182,807,919.21
  5. Step 5: Solve for x
    x = 23,911,182,807,919.21/5,646,787.92
  6. Step 6: Final answer
    x = 4,234,475.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.