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Finding the Fourth Proportional to 3,292.22, 4,938.27 and 952.13

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Solution

The fourth proportional to 3,292.22, 4,938.27 and 952.13 is: 1,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.22 : 4,938.27 = 952.13 : x
  2. Step 2: Convert to fraction form
    3,292.22/4,938.27 = 952.13/x
  3. Step 3: Cross multiply
    3,292.22x = 4,938.27 × 952.13
  4. Step 4: Simplify right side
    3,292.22x = 4,701,869.90
  5. Step 5: Solve for x
    x = 4,701,869.90/3,292.22
  6. Step 6: Final answer
    x = 1,428.18

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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.