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Finding the Fourth Proportional to 3,729.76, 5,594.64 and 1,132.62

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Solution

The fourth proportional to 3,729.76, 5,594.64 and 1,132.62 is: 1,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.76 : 5,594.64 = 1,132.62 : x
  2. Step 2: Convert to fraction form
    3,729.76/5,594.64 = 1,132.62/x
  3. Step 3: Cross multiply
    3,729.76x = 5,594.64 × 1,132.62
  4. Step 4: Simplify right side
    3,729.76x = 6,336,601.16
  5. Step 5: Solve for x
    x = 6,336,601.16/3,729.76
  6. Step 6: Final answer
    x = 1,698.93

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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.