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Finding the Fourth Proportional to 3,149.22, 4,727 and 1,301.43

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Solution

The fourth proportional to 3,149.22, 4,727 and 1,301.43 is: 1,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.22 : 4,727 = 1,301.43 : x
  2. Step 2: Convert to fraction form
    3,149.22/4,727 = 1,301.43/x
  3. Step 3: Cross multiply
    3,149.22x = 4,727 × 1,301.43
  4. Step 4: Simplify right side
    3,149.22x = 6,151,859.61
  5. Step 5: Solve for x
    x = 6,151,859.61/3,149.22
  6. Step 6: Final answer
    x = 1,953.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.