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Finding the Fourth Proportional to 3,972.17, 5,959.85 and 1,507.68

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Solution

The fourth proportional to 3,972.17, 5,959.85 and 1,507.68 is: 2,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.17 : 5,959.85 = 1,507.68 : x
  2. Step 2: Convert to fraction form
    3,972.17/5,959.85 = 1,507.68/x
  3. Step 3: Cross multiply
    3,972.17x = 5,959.85 × 1,507.68
  4. Step 4: Simplify right side
    3,972.17x = 8,985,539.11
  5. Step 5: Solve for x
    x = 8,985,539.11/3,972.17
  6. Step 6: Final answer
    x = 2,262.12

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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.