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Finding the Fourth Proportional to 5,691.48, 8,537.49 and 4,597.98

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Solution

The fourth proportional to 5,691.48, 8,537.49 and 4,597.98 is: 6,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.48 : 8,537.49 = 4,597.98 : x
  2. Step 2: Convert to fraction form
    5,691.48/8,537.49 = 4,597.98/x
  3. Step 3: Cross multiply
    5,691.48x = 8,537.49 × 4,597.98
  4. Step 4: Simplify right side
    5,691.48x = 39,255,208.27
  5. Step 5: Solve for x
    x = 39,255,208.27/5,691.48
  6. Step 6: Final answer
    x = 6,897.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.