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Finding the Fourth Proportional to 3,294.57, 4,941.86 and 954.71

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Solution

The fourth proportional to 3,294.57, 4,941.86 and 954.71 is: 1,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.57 : 4,941.86 = 954.71 : x
  2. Step 2: Convert to fraction form
    3,294.57/4,941.86 = 954.71/x
  3. Step 3: Cross multiply
    3,294.57x = 4,941.86 × 954.71
  4. Step 4: Simplify right side
    3,294.57x = 4,718,043.16
  5. Step 5: Solve for x
    x = 4,718,043.16/3,294.57
  6. Step 6: Final answer
    x = 1,432.07

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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.