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Finding the Fourth Proportional to 3,647.55, 5,471.63 and 1,567.61

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Solution

The fourth proportional to 3,647.55, 5,471.63 and 1,567.61 is: 2,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.55 : 5,471.63 = 1,567.61 : x
  2. Step 2: Convert to fraction form
    3,647.55/5,471.63 = 1,567.61/x
  3. Step 3: Cross multiply
    3,647.55x = 5,471.63 × 1,567.61
  4. Step 4: Simplify right side
    3,647.55x = 8,577,381.90
  5. Step 5: Solve for x
    x = 8,577,381.90/3,647.55
  6. Step 6: Final answer
    x = 2,351.55

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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.