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Finding the Fourth Proportional to 5,641.68, 8,437.68 and 5,124.96

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Solution

The fourth proportional to 5,641.68, 8,437.68 and 5,124.96 is: 7,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.68 : 8,437.68 = 5,124.96 : x
  2. Step 2: Convert to fraction form
    5,641.68/8,437.68 = 5,124.96/x
  3. Step 3: Cross multiply
    5,641.68x = 8,437.68 × 5,124.96
  4. Step 4: Simplify right side
    5,641.68x = 43,242,772.49
  5. Step 5: Solve for x
    x = 43,242,772.49/5,641.68
  6. Step 6: Final answer
    x = 7,664.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.