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Finding the Fourth Proportional to 6,432.38, 8,878.17 and 4,190.35

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Solution

The fourth proportional to 6,432.38, 8,878.17 and 4,190.35 is: 5,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.38 : 8,878.17 = 4,190.35 : x
  2. Step 2: Convert to fraction form
    6,432.38/8,878.17 = 4,190.35/x
  3. Step 3: Cross multiply
    6,432.38x = 8,878.17 × 4,190.35
  4. Step 4: Simplify right side
    6,432.38x = 37,202,639.66
  5. Step 5: Solve for x
    x = 37,202,639.66/6,432.38
  6. Step 6: Final answer
    x = 5,783.65

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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.