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Finding the Fourth Proportional to 5,601, 7,729.38 and 3,117

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Solution

The fourth proportional to 5,601, 7,729.38 and 3,117 is: 4,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601 : 7,729.38 = 3,117 : x
  2. Step 2: Convert to fraction form
    5,601/7,729.38 = 3,117/x
  3. Step 3: Cross multiply
    5,601x = 7,729.38 × 3,117
  4. Step 4: Simplify right side
    5,601x = 24,092,477.46
  5. Step 5: Solve for x
    x = 24,092,477.46/5,601
  6. Step 6: Final answer
    x = 4,301.46

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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.