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Finding the Fourth Proportional to 6,503.96, 8,975.58 and 3,671.90

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Solution

The fourth proportional to 6,503.96, 8,975.58 and 3,671.90 is: 5,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.96 : 8,975.58 = 3,671.90 : x
  2. Step 2: Convert to fraction form
    6,503.96/8,975.58 = 3,671.90/x
  3. Step 3: Cross multiply
    6,503.96x = 8,975.58 × 3,671.90
  4. Step 4: Simplify right side
    6,503.96x = 32,957,432.20
  5. Step 5: Solve for x
    x = 32,957,432.20/6,503.96
  6. Step 6: Final answer
    x = 5,067.29

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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.