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Finding the Fourth Proportional to 3,735.60, 5,603.52 and 1,138.80

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Solution

The fourth proportional to 3,735.60, 5,603.52 and 1,138.80 is: 1,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.60 : 5,603.52 = 1,138.80 : x
  2. Step 2: Convert to fraction form
    3,735.60/5,603.52 = 1,138.80/x
  3. Step 3: Cross multiply
    3,735.60x = 5,603.52 × 1,138.80
  4. Step 4: Simplify right side
    3,735.60x = 6,381,288.58
  5. Step 5: Solve for x
    x = 6,381,288.58/3,735.60
  6. Step 6: Final answer
    x = 1,708.24

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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.