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Finding the Fourth Proportional to 3,293.06, 4,938.85 and 952.54

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Solution

The fourth proportional to 3,293.06, 4,938.85 and 952.54 is: 1,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.06 : 4,938.85 = 952.54 : x
  2. Step 2: Convert to fraction form
    3,293.06/4,938.85 = 952.54/x
  3. Step 3: Cross multiply
    3,293.06x = 4,938.85 × 952.54
  4. Step 4: Simplify right side
    3,293.06x = 4,704,452.18
  5. Step 5: Solve for x
    x = 4,704,452.18/3,293.06
  6. Step 6: Final answer
    x = 1,428.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.