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Finding the Fourth Proportional to 6,200.34, 8,552.68 and 3,680.74

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Solution

The fourth proportional to 6,200.34, 8,552.68 and 3,680.74 is: 5,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.34 : 8,552.68 = 3,680.74 : x
  2. Step 2: Convert to fraction form
    6,200.34/8,552.68 = 3,680.74/x
  3. Step 3: Cross multiply
    6,200.34x = 8,552.68 × 3,680.74
  4. Step 4: Simplify right side
    6,200.34x = 31,480,191.38
  5. Step 5: Solve for x
    x = 31,480,191.38/6,200.34
  6. Step 6: Final answer
    x = 5,077.17

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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.