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Finding the Fourth Proportional to 5,841.47, 8,720.60 and 5,636.43

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Solution

The fourth proportional to 5,841.47, 8,720.60 and 5,636.43 is: 8,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.47 : 8,720.60 = 5,636.43 : x
  2. Step 2: Convert to fraction form
    5,841.47/8,720.60 = 5,636.43/x
  3. Step 3: Cross multiply
    5,841.47x = 8,720.60 × 5,636.43
  4. Step 4: Simplify right side
    5,841.47x = 49,153,023.28
  5. Step 5: Solve for x
    x = 49,153,023.28/5,841.47
  6. Step 6: Final answer
    x = 8,414.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.