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Finding the Fourth Proportional to 5,487.68, 7,561.19 and 4,588.31

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Solution

The fourth proportional to 5,487.68, 7,561.19 and 4,588.31 is: 6,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.68 : 7,561.19 = 4,588.31 : x
  2. Step 2: Convert to fraction form
    5,487.68/7,561.19 = 4,588.31/x
  3. Step 3: Cross multiply
    5,487.68x = 7,561.19 × 4,588.31
  4. Step 4: Simplify right side
    5,487.68x = 34,693,022.94
  5. Step 5: Solve for x
    x = 34,693,022.94/5,487.68
  6. Step 6: Final answer
    x = 6,321.99

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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.