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Finding the Fourth Proportional to 3,292.35, 4,938.59 and 952.53

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Solution

The fourth proportional to 3,292.35, 4,938.59 and 952.53 is: 1,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.35 : 4,938.59 = 952.53 : x
  2. Step 2: Convert to fraction form
    3,292.35/4,938.59 = 952.53/x
  3. Step 3: Cross multiply
    3,292.35x = 4,938.59 × 952.53
  4. Step 4: Simplify right side
    3,292.35x = 4,704,155.13
  5. Step 5: Solve for x
    x = 4,704,155.13/3,292.35
  6. Step 6: Final answer
    x = 1,428.81

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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.