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Finding the Fourth Proportional to 5,645.70, 8,468.55 and 4,176.90

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Solution

The fourth proportional to 5,645.70, 8,468.55 and 4,176.90 is: 6,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.70 : 8,468.55 = 4,176.90 : x
  2. Step 2: Convert to fraction form
    5,645.70/8,468.55 = 4,176.90/x
  3. Step 3: Cross multiply
    5,645.70x = 8,468.55 × 4,176.90
  4. Step 4: Simplify right side
    5,645.70x = 35,372,286.50
  5. Step 5: Solve for x
    x = 35,372,286.50/5,645.70
  6. Step 6: Final answer
    x = 6,265.35

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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.