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Finding the Fourth Proportional to 3,848.57, 5,773.26 and 1,898.90

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Solution

The fourth proportional to 3,848.57, 5,773.26 and 1,898.90 is: 2,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.57 : 5,773.26 = 1,898.90 : x
  2. Step 2: Convert to fraction form
    3,848.57/5,773.26 = 1,898.90/x
  3. Step 3: Cross multiply
    3,848.57x = 5,773.26 × 1,898.90
  4. Step 4: Simplify right side
    3,848.57x = 10,962,843.41
  5. Step 5: Solve for x
    x = 10,962,843.41/3,848.57
  6. Step 6: Final answer
    x = 2,848.55

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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.