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Finding the Fourth Proportional to 3,729.18, 5,597.01 and 2,575.74

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Solution

The fourth proportional to 3,729.18, 5,597.01 and 2,575.74 is: 3,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.18 : 5,597.01 = 2,575.74 : x
  2. Step 2: Convert to fraction form
    3,729.18/5,597.01 = 2,575.74/x
  3. Step 3: Cross multiply
    3,729.18x = 5,597.01 × 2,575.74
  4. Step 4: Simplify right side
    3,729.18x = 14,416,442.54
  5. Step 5: Solve for x
    x = 14,416,442.54/3,729.18
  6. Step 6: Final answer
    x = 3,865.85

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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.