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Finding the Fourth Proportional to 3,748.40, 5,624.24 and 2,015

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Solution

The fourth proportional to 3,748.40, 5,624.24 and 2,015 is: 3,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.40 : 5,624.24 = 2,015 : x
  2. Step 2: Convert to fraction form
    3,748.40/5,624.24 = 2,015/x
  3. Step 3: Cross multiply
    3,748.40x = 5,624.24 × 2,015
  4. Step 4: Simplify right side
    3,748.40x = 11,332,843.60
  5. Step 5: Solve for x
    x = 11,332,843.60/3,748.40
  6. Step 6: Final answer
    x = 3,023.38

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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.