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Finding the Fourth Proportional to 5,406.85, 7,461.33 and 3,049.07

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Solution

The fourth proportional to 5,406.85, 7,461.33 and 3,049.07 is: 4,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.85 : 7,461.33 = 3,049.07 : x
  2. Step 2: Convert to fraction form
    5,406.85/7,461.33 = 3,049.07/x
  3. Step 3: Cross multiply
    5,406.85x = 7,461.33 × 3,049.07
  4. Step 4: Simplify right side
    5,406.85x = 22,750,117.46
  5. Step 5: Solve for x
    x = 22,750,117.46/5,406.85
  6. Step 6: Final answer
    x = 4,207.65

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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.