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Finding the Fourth Proportional to 7,434.50, 10,260.02 and 4,291.70

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Solution

The fourth proportional to 7,434.50, 10,260.02 and 4,291.70 is: 5,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.50 : 10,260.02 = 4,291.70 : x
  2. Step 2: Convert to fraction form
    7,434.50/10,260.02 = 4,291.70/x
  3. Step 3: Cross multiply
    7,434.50x = 10,260.02 × 4,291.70
  4. Step 4: Simplify right side
    7,434.50x = 44,032,906.38
  5. Step 5: Solve for x
    x = 44,032,906.38/7,434.50
  6. Step 6: Final answer
    x = 5,922.78

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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.