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Finding the Fourth Proportional to 5,002, 7,501.92 and 3,536.98

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Solution

The fourth proportional to 5,002, 7,501.92 and 3,536.98 is: 5,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002 : 7,501.92 = 3,536.98 : x
  2. Step 2: Convert to fraction form
    5,002/7,501.92 = 3,536.98/x
  3. Step 3: Cross multiply
    5,002x = 7,501.92 × 3,536.98
  4. Step 4: Simplify right side
    5,002x = 26,534,141.00
  5. Step 5: Solve for x
    x = 26,534,141.00/5,002
  6. Step 6: Final answer
    x = 5,304.71

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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.