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Finding the Fourth Proportional to 5,621.96, 8,432.84 and 4,390.38

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Solution

The fourth proportional to 5,621.96, 8,432.84 and 4,390.38 is: 6,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.96 : 8,432.84 = 4,390.38 : x
  2. Step 2: Convert to fraction form
    5,621.96/8,432.84 = 4,390.38/x
  3. Step 3: Cross multiply
    5,621.96x = 8,432.84 × 4,390.38
  4. Step 4: Simplify right side
    5,621.96x = 37,023,372.08
  5. Step 5: Solve for x
    x = 37,023,372.08/5,621.96
  6. Step 6: Final answer
    x = 6,585.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.