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Finding the Fourth Proportional to 5,406.96, 7,461.80 and 3,049.20

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Solution

The fourth proportional to 5,406.96, 7,461.80 and 3,049.20 is: 4,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.96 : 7,461.80 = 3,049.20 : x
  2. Step 2: Convert to fraction form
    5,406.96/7,461.80 = 3,049.20/x
  3. Step 3: Cross multiply
    5,406.96x = 7,461.80 × 3,049.20
  4. Step 4: Simplify right side
    5,406.96x = 22,752,520.56
  5. Step 5: Solve for x
    x = 22,752,520.56/5,406.96
  6. Step 6: Final answer
    x = 4,208.01

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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.