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Finding the Fourth Proportional to 5,543.64, 8,314.40 and 1,647.16

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Solution

The fourth proportional to 5,543.64, 8,314.40 and 1,647.16 is: 2,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.64 : 8,314.40 = 1,647.16 : x
  2. Step 2: Convert to fraction form
    5,543.64/8,314.40 = 1,647.16/x
  3. Step 3: Cross multiply
    5,543.64x = 8,314.40 × 1,647.16
  4. Step 4: Simplify right side
    5,543.64x = 13,695,147.10
  5. Step 5: Solve for x
    x = 13,695,147.10/5,543.64
  6. Step 6: Final answer
    x = 2,470.43

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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.