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Finding the Fourth Proportional to 5,374.74, 8,062.14 and 2,451

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Solution

The fourth proportional to 5,374.74, 8,062.14 and 2,451 is: 3,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.74 : 8,062.14 = 2,451 : x
  2. Step 2: Convert to fraction form
    5,374.74/8,062.14 = 2,451/x
  3. Step 3: Cross multiply
    5,374.74x = 8,062.14 × 2,451
  4. Step 4: Simplify right side
    5,374.74x = 19,760,305.14
  5. Step 5: Solve for x
    x = 19,760,305.14/5,374.74
  6. Step 6: Final answer
    x = 3,676.51

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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.