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Finding the Fourth Proportional to 5,374.74, 7,417.38 and 2,984.73

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Solution

The fourth proportional to 5,374.74, 7,417.38 and 2,984.73 is: 4,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.74 : 7,417.38 = 2,984.73 : x
  2. Step 2: Convert to fraction form
    5,374.74/7,417.38 = 2,984.73/x
  3. Step 3: Cross multiply
    5,374.74x = 7,417.38 × 2,984.73
  4. Step 4: Simplify right side
    5,374.74x = 22,138,876.61
  5. Step 5: Solve for x
    x = 22,138,876.61/5,374.74
  6. Step 6: Final answer
    x = 4,119.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.