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Finding the Fourth Proportional to 4,952.46, 7,417.17 and 3,001.14

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Solution

The fourth proportional to 4,952.46, 7,417.17 and 3,001.14 is: 4,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.46 : 7,417.17 = 3,001.14 : x
  2. Step 2: Convert to fraction form
    4,952.46/7,417.17 = 3,001.14/x
  3. Step 3: Cross multiply
    4,952.46x = 7,417.17 × 3,001.14
  4. Step 4: Simplify right side
    4,952.46x = 22,259,965.57
  5. Step 5: Solve for x
    x = 22,259,965.57/4,952.46
  6. Step 6: Final answer
    x = 4,494.73

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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.