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Finding the Fourth Proportional to 5,688.16, 7,845.42 and 5,050.87

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Solution

The fourth proportional to 5,688.16, 7,845.42 and 5,050.87 is: 6,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.16 : 7,845.42 = 5,050.87 : x
  2. Step 2: Convert to fraction form
    5,688.16/7,845.42 = 5,050.87/x
  3. Step 3: Cross multiply
    5,688.16x = 7,845.42 × 5,050.87
  4. Step 4: Simplify right side
    5,688.16x = 39,626,196.52
  5. Step 5: Solve for x
    x = 39,626,196.52/5,688.16
  6. Step 6: Final answer
    x = 6,966.43

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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.