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Finding the Fourth Proportional to 5,407.14, 7,461.42 and 3,049.04

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Solution

The fourth proportional to 5,407.14, 7,461.42 and 3,049.04 is: 4,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.14 : 7,461.42 = 3,049.04 : x
  2. Step 2: Convert to fraction form
    5,407.14/7,461.42 = 3,049.04/x
  3. Step 3: Cross multiply
    5,407.14x = 7,461.42 × 3,049.04
  4. Step 4: Simplify right side
    5,407.14x = 22,750,168.04
  5. Step 5: Solve for x
    x = 22,750,168.04/5,407.14
  6. Step 6: Final answer
    x = 4,207.43

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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.