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Finding the Fourth Proportional to 6,407.52, 8,842.44 and 3,923.52

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Solution

The fourth proportional to 6,407.52, 8,842.44 and 3,923.52 is: 5,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.52 : 8,842.44 = 3,923.52 : x
  2. Step 2: Convert to fraction form
    6,407.52/8,842.44 = 3,923.52/x
  3. Step 3: Cross multiply
    6,407.52x = 8,842.44 × 3,923.52
  4. Step 4: Simplify right side
    6,407.52x = 34,693,490.19
  5. Step 5: Solve for x
    x = 34,693,490.19/6,407.52
  6. Step 6: Final answer
    x = 5,414.50

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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.