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Finding the Fourth Proportional to 6,402.38, 8,829.61 and 4,162.19

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Solution

The fourth proportional to 6,402.38, 8,829.61 and 4,162.19 is: 5,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.38 : 8,829.61 = 4,162.19 : x
  2. Step 2: Convert to fraction form
    6,402.38/8,829.61 = 4,162.19/x
  3. Step 3: Cross multiply
    6,402.38x = 8,829.61 × 4,162.19
  4. Step 4: Simplify right side
    6,402.38x = 36,750,459.89
  5. Step 5: Solve for x
    x = 36,750,459.89/6,402.38
  6. Step 6: Final answer
    x = 5,740.13

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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.