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Finding the Fourth Proportional to 3,746.84, 5,170.68 and 2,068.20

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Solution

The fourth proportional to 3,746.84, 5,170.68 and 2,068.20 is: 2,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.84 : 5,170.68 = 2,068.20 : x
  2. Step 2: Convert to fraction form
    3,746.84/5,170.68 = 2,068.20/x
  3. Step 3: Cross multiply
    3,746.84x = 5,170.68 × 2,068.20
  4. Step 4: Simplify right side
    3,746.84x = 10,694,000.38
  5. Step 5: Solve for x
    x = 10,694,000.38/3,746.84
  6. Step 6: Final answer
    x = 2,854.14

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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.