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Finding the Fourth Proportional to 4,102.70, 5,662.19 and 2,285.90

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Solution

The fourth proportional to 4,102.70, 5,662.19 and 2,285.90 is: 3,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.70 : 5,662.19 = 2,285.90 : x
  2. Step 2: Convert to fraction form
    4,102.70/5,662.19 = 2,285.90/x
  3. Step 3: Cross multiply
    4,102.70x = 5,662.19 × 2,285.90
  4. Step 4: Simplify right side
    4,102.70x = 12,943,160.38
  5. Step 5: Solve for x
    x = 12,943,160.38/4,102.70
  6. Step 6: Final answer
    x = 3,154.79

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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.