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Finding the Fourth Proportional to 3,444.60, 4,753.58 and 1,872.70

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Solution

The fourth proportional to 3,444.60, 4,753.58 and 1,872.70 is: 2,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.60 : 4,753.58 = 1,872.70 : x
  2. Step 2: Convert to fraction form
    3,444.60/4,753.58 = 1,872.70/x
  3. Step 3: Cross multiply
    3,444.60x = 4,753.58 × 1,872.70
  4. Step 4: Simplify right side
    3,444.60x = 8,902,029.27
  5. Step 5: Solve for x
    x = 8,902,029.27/3,444.60
  6. Step 6: Final answer
    x = 2,584.34

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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.