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Finding the Fourth Proportional to 4,077.91, 6,144.07 and 3,688.36

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Solution

The fourth proportional to 4,077.91, 6,144.07 and 3,688.36 is: 5,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.91 : 6,144.07 = 3,688.36 : x
  2. Step 2: Convert to fraction form
    4,077.91/6,144.07 = 3,688.36/x
  3. Step 3: Cross multiply
    4,077.91x = 6,144.07 × 3,688.36
  4. Step 4: Simplify right side
    4,077.91x = 22,661,542.03
  5. Step 5: Solve for x
    x = 22,661,542.03/4,077.91
  6. Step 6: Final answer
    x = 5,557.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.