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Finding the Fourth Proportional to 5,501, 7,591.74 and 3,017

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Solution

The fourth proportional to 5,501, 7,591.74 and 3,017 is: 4,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,501 : 7,591.74 = 3,017 : x
  2. Step 2: Convert to fraction form
    5,501/7,591.74 = 3,017/x
  3. Step 3: Cross multiply
    5,501x = 7,591.74 × 3,017
  4. Step 4: Simplify right side
    5,501x = 22,904,279.58
  5. Step 5: Solve for x
    x = 22,904,279.58/5,501
  6. Step 6: Final answer
    x = 4,163.66

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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.