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Finding the Fourth Proportional to 3,802.10, 5,246.90 and 2,230.20

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Solution

The fourth proportional to 3,802.10, 5,246.90 and 2,230.20 is: 3,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.10 : 5,246.90 = 2,230.20 : x
  2. Step 2: Convert to fraction form
    3,802.10/5,246.90 = 2,230.20/x
  3. Step 3: Cross multiply
    3,802.10x = 5,246.90 × 2,230.20
  4. Step 4: Simplify right side
    3,802.10x = 11,701,636.38
  5. Step 5: Solve for x
    x = 11,701,636.38/3,802.10
  6. Step 6: Final answer
    x = 3,077.68

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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.