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Finding the Fourth Proportional to 3,748.88, 5,622.24 and 1,152.02

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Solution

The fourth proportional to 3,748.88, 5,622.24 and 1,152.02 is: 1,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.88 : 5,622.24 = 1,152.02 : x
  2. Step 2: Convert to fraction form
    3,748.88/5,622.24 = 1,152.02/x
  3. Step 3: Cross multiply
    3,748.88x = 5,622.24 × 1,152.02
  4. Step 4: Simplify right side
    3,748.88x = 6,476,932.92
  5. Step 5: Solve for x
    x = 6,476,932.92/3,748.88
  6. Step 6: Final answer
    x = 1,727.70

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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.