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Finding the Fourth Proportional to 3,802.59, 5,247.68 and 2,230.70

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Solution

The fourth proportional to 3,802.59, 5,247.68 and 2,230.70 is: 3,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.59 : 5,247.68 = 2,230.70 : x
  2. Step 2: Convert to fraction form
    3,802.59/5,247.68 = 2,230.70/x
  3. Step 3: Cross multiply
    3,802.59x = 5,247.68 × 2,230.70
  4. Step 4: Simplify right side
    3,802.59x = 11,705,962.38
  5. Step 5: Solve for x
    x = 11,705,962.38/3,802.59
  6. Step 6: Final answer
    x = 3,078.42

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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.