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Finding the Fourth Proportional to 3,546.72, 5,320.68 and 1,355.76

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Solution

The fourth proportional to 3,546.72, 5,320.68 and 1,355.76 is: 2,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.72 : 5,320.68 = 1,355.76 : x
  2. Step 2: Convert to fraction form
    3,546.72/5,320.68 = 1,355.76/x
  3. Step 3: Cross multiply
    3,546.72x = 5,320.68 × 1,355.76
  4. Step 4: Simplify right side
    3,546.72x = 7,213,565.12
  5. Step 5: Solve for x
    x = 7,213,565.12/3,546.72
  6. Step 6: Final answer
    x = 2,033.87

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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.