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Finding the Fourth Proportional to 5,406.41, 7,460.39 and 3,049.13

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Solution

The fourth proportional to 5,406.41, 7,460.39 and 3,049.13 is: 4,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.41 : 7,460.39 = 3,049.13 : x
  2. Step 2: Convert to fraction form
    5,406.41/7,460.39 = 3,049.13/x
  3. Step 3: Cross multiply
    5,406.41x = 7,460.39 × 3,049.13
  4. Step 4: Simplify right side
    5,406.41x = 22,747,646.41
  5. Step 5: Solve for x
    x = 22,747,646.41/5,406.41
  6. Step 6: Final answer
    x = 4,207.54

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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.