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Finding the Fourth Proportional to 5,752.62, 7,938.81 and 3,394.71

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Solution

The fourth proportional to 5,752.62, 7,938.81 and 3,394.71 is: 4,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.62 : 7,938.81 = 3,394.71 : x
  2. Step 2: Convert to fraction form
    5,752.62/7,938.81 = 3,394.71/x
  3. Step 3: Cross multiply
    5,752.62x = 7,938.81 × 3,394.71
  4. Step 4: Simplify right side
    5,752.62x = 26,949,957.70
  5. Step 5: Solve for x
    x = 26,949,957.70/5,752.62
  6. Step 6: Final answer
    x = 4,684.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.