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Finding the Fourth Proportional to 5,466.61, 7,543.38 and 3,197.62

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Solution

The fourth proportional to 5,466.61, 7,543.38 and 3,197.62 is: 4,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.61 : 7,543.38 = 3,197.62 : x
  2. Step 2: Convert to fraction form
    5,466.61/7,543.38 = 3,197.62/x
  3. Step 3: Cross multiply
    5,466.61x = 7,543.38 × 3,197.62
  4. Step 4: Simplify right side
    5,466.61x = 24,120,862.76
  5. Step 5: Solve for x
    x = 24,120,862.76/5,466.61
  6. Step 6: Final answer
    x = 4,412.40

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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.