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Finding the Fourth Proportional to 3,475.61, 5,200.34 and 2,437.64

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Solution

The fourth proportional to 3,475.61, 5,200.34 and 2,437.64 is: 3,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.61 : 5,200.34 = 2,437.64 : x
  2. Step 2: Convert to fraction form
    3,475.61/5,200.34 = 2,437.64/x
  3. Step 3: Cross multiply
    3,475.61x = 5,200.34 × 2,437.64
  4. Step 4: Simplify right side
    3,475.61x = 12,676,531.61
  5. Step 5: Solve for x
    x = 12,676,531.61/3,475.61
  6. Step 6: Final answer
    x = 3,647.28

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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.