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Finding the Fourth Proportional to 5,306.47, 7,960.97 and 3,749.51

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Solution

The fourth proportional to 5,306.47, 7,960.97 and 3,749.51 is: 5,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.47 : 7,960.97 = 3,749.51 : x
  2. Step 2: Convert to fraction form
    5,306.47/7,960.97 = 3,749.51/x
  3. Step 3: Cross multiply
    5,306.47x = 7,960.97 × 3,749.51
  4. Step 4: Simplify right side
    5,306.47x = 29,849,765.90
  5. Step 5: Solve for x
    x = 29,849,765.90/5,306.47
  6. Step 6: Final answer
    x = 5,625.17

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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.