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Finding the Fourth Proportional to 7,037.82, 9,712.19 and 3,894.48

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Solution

The fourth proportional to 7,037.82, 9,712.19 and 3,894.48 is: 5,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.82 : 9,712.19 = 3,894.48 : x
  2. Step 2: Convert to fraction form
    7,037.82/9,712.19 = 3,894.48/x
  3. Step 3: Cross multiply
    7,037.82x = 9,712.19 × 3,894.48
  4. Step 4: Simplify right side
    7,037.82x = 37,823,910.24
  5. Step 5: Solve for x
    x = 37,823,910.24/7,037.82
  6. Step 6: Final answer
    x = 5,374.38

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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.