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Finding the Fourth Proportional to 6,470.90, 8,930.68 and 3,952.50

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Solution

The fourth proportional to 6,470.90, 8,930.68 and 3,952.50 is: 5,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.90 : 8,930.68 = 3,952.50 : x
  2. Step 2: Convert to fraction form
    6,470.90/8,930.68 = 3,952.50/x
  3. Step 3: Cross multiply
    6,470.90x = 8,930.68 × 3,952.50
  4. Step 4: Simplify right side
    6,470.90x = 35,298,469.33
  5. Step 5: Solve for x
    x = 35,298,469.33/6,470.90
  6. Step 6: Final answer
    x = 5,454.96

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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.