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Finding the Fourth Proportional to 3,673.76, 5,068 and 2,101.44

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Solution

The fourth proportional to 3,673.76, 5,068 and 2,101.44 is: 2,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.76 : 5,068 = 2,101.44 : x
  2. Step 2: Convert to fraction form
    3,673.76/5,068 = 2,101.44/x
  3. Step 3: Cross multiply
    3,673.76x = 5,068 × 2,101.44
  4. Step 4: Simplify right side
    3,673.76x = 10,650,097.92
  5. Step 5: Solve for x
    x = 10,650,097.92/3,673.76
  6. Step 6: Final answer
    x = 2,898.96

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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.