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Finding the Fourth Proportional to 5,889.69, 8,130.55 and 3,737.31

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Solution

The fourth proportional to 5,889.69, 8,130.55 and 3,737.31 is: 5,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.69 : 8,130.55 = 3,737.31 : x
  2. Step 2: Convert to fraction form
    5,889.69/8,130.55 = 3,737.31/x
  3. Step 3: Cross multiply
    5,889.69x = 8,130.55 × 3,737.31
  4. Step 4: Simplify right side
    5,889.69x = 30,386,432.11
  5. Step 5: Solve for x
    x = 30,386,432.11/5,889.69
  6. Step 6: Final answer
    x = 5,159.26

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