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Finding the Fourth Proportional to 5,407.22, 7,461.72 and 3,049.79

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Solution

The fourth proportional to 5,407.22, 7,461.72 and 3,049.79 is: 4,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.22 : 7,461.72 = 3,049.79 : x
  2. Step 2: Convert to fraction form
    5,407.22/7,461.72 = 3,049.79/x
  3. Step 3: Cross multiply
    5,407.22x = 7,461.72 × 3,049.79
  4. Step 4: Simplify right side
    5,407.22x = 22,756,641.73
  5. Step 5: Solve for x
    x = 22,756,641.73/5,407.22
  6. Step 6: Final answer
    x = 4,208.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.