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Finding the Fourth Proportional to 3,572.30, 5,358.58 and 1,107.20

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Solution

The fourth proportional to 3,572.30, 5,358.58 and 1,107.20 is: 1,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.30 : 5,358.58 = 1,107.20 : x
  2. Step 2: Convert to fraction form
    3,572.30/5,358.58 = 1,107.20/x
  3. Step 3: Cross multiply
    3,572.30x = 5,358.58 × 1,107.20
  4. Step 4: Simplify right side
    3,572.30x = 5,933,019.78
  5. Step 5: Solve for x
    x = 5,933,019.78/3,572.30
  6. Step 6: Final answer
    x = 1,660.84

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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.