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Finding the Fourth Proportional to 5,646,784.79, 7,792,557.11 and 3,068,459.42

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Solution

The fourth proportional to 5,646,784.79, 7,792,557.11 and 3,068,459.42 is: 4,234,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646,784.79 : 7,792,557.11 = 3,068,459.42 : x
  2. Step 2: Convert to fraction form
    5,646,784.79/7,792,557.11 = 3,068,459.42/x
  3. Step 3: Cross multiply
    5,646,784.79x = 7,792,557.11 × 3,068,459.42
  4. Step 4: Simplify right side
    5,646,784.79x = 23,911,145,227,269.12
  5. Step 5: Solve for x
    x = 23,911,145,227,269.12/5,646,784.79
  6. Step 6: Final answer
    x = 4,234,470.78

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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.