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Finding the Fourth Proportional to 3,901.76, 5,380.80 and 3,374.72

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Solution

The fourth proportional to 3,901.76, 5,380.80 and 3,374.72 is: 4,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.76 : 5,380.80 = 3,374.72 : x
  2. Step 2: Convert to fraction form
    3,901.76/5,380.80 = 3,374.72/x
  3. Step 3: Cross multiply
    3,901.76x = 5,380.80 × 3,374.72
  4. Step 4: Simplify right side
    3,901.76x = 18,158,693.38
  5. Step 5: Solve for x
    x = 18,158,693.38/3,901.76
  6. Step 6: Final answer
    x = 4,653.97

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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.