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Finding the Fourth Proportional to 3,729.60, 5,594.60 and 1,132.34

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Solution

The fourth proportional to 3,729.60, 5,594.60 and 1,132.34 is: 1,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.60 : 5,594.60 = 1,132.34 : x
  2. Step 2: Convert to fraction form
    3,729.60/5,594.60 = 1,132.34/x
  3. Step 3: Cross multiply
    3,729.60x = 5,594.60 × 1,132.34
  4. Step 4: Simplify right side
    3,729.60x = 6,334,964.22
  5. Step 5: Solve for x
    x = 6,334,964.22/3,729.60
  6. Step 6: Final answer
    x = 1,698.56

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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.