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Finding the Fourth Proportional to 5,407.65, 7,462.56 and 3,049.78

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Solution

The fourth proportional to 5,407.65, 7,462.56 and 3,049.78 is: 4,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.65 : 7,462.56 = 3,049.78 : x
  2. Step 2: Convert to fraction form
    5,407.65/7,462.56 = 3,049.78/x
  3. Step 3: Cross multiply
    5,407.65x = 7,462.56 × 3,049.78
  4. Step 4: Simplify right side
    5,407.65x = 22,759,166.24
  5. Step 5: Solve for x
    x = 22,759,166.24/5,407.65
  6. Step 6: Final answer
    x = 4,208.70

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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.