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Finding the Fourth Proportional to 4,635.76, 6,948.78 and 2,168.50

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Solution

The fourth proportional to 4,635.76, 6,948.78 and 2,168.50 is: 3,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.76 : 6,948.78 = 2,168.50 : x
  2. Step 2: Convert to fraction form
    4,635.76/6,948.78 = 2,168.50/x
  3. Step 3: Cross multiply
    4,635.76x = 6,948.78 × 2,168.50
  4. Step 4: Simplify right side
    4,635.76x = 15,068,429.43
  5. Step 5: Solve for x
    x = 15,068,429.43/4,635.76
  6. Step 6: Final answer
    x = 3,250.48

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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.