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Finding the Fourth Proportional to 5,487.72, 8,232.80 and 1,591.80

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Solution

The fourth proportional to 5,487.72, 8,232.80 and 1,591.80 is: 2,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.72 : 8,232.80 = 1,591.80 : x
  2. Step 2: Convert to fraction form
    5,487.72/8,232.80 = 1,591.80/x
  3. Step 3: Cross multiply
    5,487.72x = 8,232.80 × 1,591.80
  4. Step 4: Simplify right side
    5,487.72x = 13,104,971.04
  5. Step 5: Solve for x
    x = 13,104,971.04/5,487.72
  6. Step 6: Final answer
    x = 2,388.05

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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.