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Finding the Fourth Proportional to 3,870, 5,342.22 and 2,751.12

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Solution

The fourth proportional to 3,870, 5,342.22 and 2,751.12 is: 3,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 5,342.22 = 2,751.12 : x
  2. Step 2: Convert to fraction form
    3,870/5,342.22 = 2,751.12/x
  3. Step 3: Cross multiply
    3,870x = 5,342.22 × 2,751.12
  4. Step 4: Simplify right side
    3,870x = 14,697,088.29
  5. Step 5: Solve for x
    x = 14,697,088.29/3,870
  6. Step 6: Final answer
    x = 3,797.70

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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.