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Finding the Fourth Proportional to 5,407.74, 7,460.76 and 3,049.92

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Solution

The fourth proportional to 5,407.74, 7,460.76 and 3,049.92 is: 4,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.74 : 7,460.76 = 3,049.92 : x
  2. Step 2: Convert to fraction form
    5,407.74/7,460.76 = 3,049.92/x
  3. Step 3: Cross multiply
    5,407.74x = 7,460.76 × 3,049.92
  4. Step 4: Simplify right side
    5,407.74x = 22,754,721.14
  5. Step 5: Solve for x
    x = 22,754,721.14/5,407.74
  6. Step 6: Final answer
    x = 4,207.81

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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.