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Finding the Fourth Proportional to 3,770.40, 5,652.72 and 1,463.52

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Solution

The fourth proportional to 3,770.40, 5,652.72 and 1,463.52 is: 2,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.40 : 5,652.72 = 1,463.52 : x
  2. Step 2: Convert to fraction form
    3,770.40/5,652.72 = 1,463.52/x
  3. Step 3: Cross multiply
    3,770.40x = 5,652.72 × 1,463.52
  4. Step 4: Simplify right side
    3,770.40x = 8,272,868.77
  5. Step 5: Solve for x
    x = 8,272,868.77/3,770.40
  6. Step 6: Final answer
    x = 2,194.16

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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.