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Finding the Fourth Proportional to 8,857.70, 13,287.36 and 2,283.90

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Solution

The fourth proportional to 8,857.70, 13,287.36 and 2,283.90 is: 3,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.70 : 13,287.36 = 2,283.90 : x
  2. Step 2: Convert to fraction form
    8,857.70/13,287.36 = 2,283.90/x
  3. Step 3: Cross multiply
    8,857.70x = 13,287.36 × 2,283.90
  4. Step 4: Simplify right side
    8,857.70x = 30,347,001.50
  5. Step 5: Solve for x
    x = 30,347,001.50/8,857.70
  6. Step 6: Final answer
    x = 3,426.06

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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.