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Finding the Fourth Proportional to 3,116.20, 4,214.55 and 3,116.20

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Solution

The fourth proportional to 3,116.20, 4,214.55 and 3,116.20 is: 4,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.20 : 4,214.55 = 3,116.20 : x
  2. Step 2: Convert to fraction form
    3,116.20/4,214.55 = 3,116.20/x
  3. Step 3: Cross multiply
    3,116.20x = 4,214.55 × 3,116.20
  4. Step 4: Simplify right side
    3,116.20x = 13,133,380.71
  5. Step 5: Solve for x
    x = 13,133,380.71/3,116.20
  6. Step 6: Final answer
    x = 4,214.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.