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Finding the Fourth Proportional to 5,649,896.95, 7,796,946.50 and 3,071,587.57

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Solution

The fourth proportional to 5,649,896.95, 7,796,946.50 and 3,071,587.57 is: 4,238,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649,896.95 : 7,796,946.50 = 3,071,587.57 : x
  2. Step 2: Convert to fraction form
    5,649,896.95/7,796,946.50 = 3,071,587.57/x
  3. Step 3: Cross multiply
    5,649,896.95x = 7,796,946.50 × 3,071,587.57
  4. Step 4: Simplify right side
    5,649,896.95x = 23,949,003,930,023.15
  5. Step 5: Solve for x
    x = 23,949,003,930,023.15/5,649,896.95
  6. Step 6: Final answer
    x = 4,238,839.07

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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.