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Finding the Fourth Proportional to 5,536.89, 7,641.60 and 3,178.98

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Solution

The fourth proportional to 5,536.89, 7,641.60 and 3,178.98 is: 4,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.89 : 7,641.60 = 3,178.98 : x
  2. Step 2: Convert to fraction form
    5,536.89/7,641.60 = 3,178.98/x
  3. Step 3: Cross multiply
    5,536.89x = 7,641.60 × 3,178.98
  4. Step 4: Simplify right side
    5,536.89x = 24,292,493.57
  5. Step 5: Solve for x
    x = 24,292,493.57/5,536.89
  6. Step 6: Final answer
    x = 4,387.39

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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.