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Finding the Fourth Proportional to 3,748.67, 5,616.86 and 1,282.15

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Solution

The fourth proportional to 3,748.67, 5,616.86 and 1,282.15 is: 1,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.67 : 5,616.86 = 1,282.15 : x
  2. Step 2: Convert to fraction form
    3,748.67/5,616.86 = 1,282.15/x
  3. Step 3: Cross multiply
    3,748.67x = 5,616.86 × 1,282.15
  4. Step 4: Simplify right side
    3,748.67x = 7,201,628.96
  5. Step 5: Solve for x
    x = 7,201,628.96/3,748.67
  6. Step 6: Final answer
    x = 1,921.12

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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.