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Finding the Fourth Proportional to 7,037.82, 9,712.20 and 3,894

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Solution

The fourth proportional to 7,037.82, 9,712.20 and 3,894 is: 5,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.82 : 9,712.20 = 3,894 : x
  2. Step 2: Convert to fraction form
    7,037.82/9,712.20 = 3,894/x
  3. Step 3: Cross multiply
    7,037.82x = 9,712.20 × 3,894
  4. Step 4: Simplify right side
    7,037.82x = 37,819,306.80
  5. Step 5: Solve for x
    x = 37,819,306.80/7,037.82
  6. Step 6: Final answer
    x = 5,373.72

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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.