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Finding the Fourth Proportional to 3,687.12, 5,530.48 and 913.76

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Solution

The fourth proportional to 3,687.12, 5,530.48 and 913.76 is: 1,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.12 : 5,530.48 = 913.76 : x
  2. Step 2: Convert to fraction form
    3,687.12/5,530.48 = 913.76/x
  3. Step 3: Cross multiply
    3,687.12x = 5,530.48 × 913.76
  4. Step 4: Simplify right side
    3,687.12x = 5,053,531.40
  5. Step 5: Solve for x
    x = 5,053,531.40/3,687.12
  6. Step 6: Final answer
    x = 1,370.59

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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.