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Finding the Fourth Proportional to 6,337.69, 8,746.04 and 3,543.19

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Solution

The fourth proportional to 6,337.69, 8,746.04 and 3,543.19 is: 4,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.69 : 8,746.04 = 3,543.19 : x
  2. Step 2: Convert to fraction form
    6,337.69/8,746.04 = 3,543.19/x
  3. Step 3: Cross multiply
    6,337.69x = 8,746.04 × 3,543.19
  4. Step 4: Simplify right side
    6,337.69x = 30,988,885.62
  5. Step 5: Solve for x
    x = 30,988,885.62/6,337.69
  6. Step 6: Final answer
    x = 4,889.62

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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.