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Finding the Fourth Proportional to 3,902.58, 5,853.90 and 1,562.78

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Solution

The fourth proportional to 3,902.58, 5,853.90 and 1,562.78 is: 2,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.58 : 5,853.90 = 1,562.78 : x
  2. Step 2: Convert to fraction form
    3,902.58/5,853.90 = 1,562.78/x
  3. Step 3: Cross multiply
    3,902.58x = 5,853.90 × 1,562.78
  4. Step 4: Simplify right side
    3,902.58x = 9,148,357.84
  5. Step 5: Solve for x
    x = 9,148,357.84/3,902.58
  6. Step 6: Final answer
    x = 2,344.18

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1.5x scale

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.