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Finding the Fourth Proportional to 3,374.47, 5,062.92 and 1,183.53

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Solution

The fourth proportional to 3,374.47, 5,062.92 and 1,183.53 is: 1,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.47 : 5,062.92 = 1,183.53 : x
  2. Step 2: Convert to fraction form
    3,374.47/5,062.92 = 1,183.53/x
  3. Step 3: Cross multiply
    3,374.47x = 5,062.92 × 1,183.53
  4. Step 4: Simplify right side
    3,374.47x = 5,992,117.71
  5. Step 5: Solve for x
    x = 5,992,117.71/3,374.47
  6. Step 6: Final answer
    x = 1,775.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.