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Finding the Fourth Proportional to 3,870, 5,340.60 and 2,101.62

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Solution

The fourth proportional to 3,870, 5,340.60 and 2,101.62 is: 2,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 5,340.60 = 2,101.62 : x
  2. Step 2: Convert to fraction form
    3,870/5,340.60 = 2,101.62/x
  3. Step 3: Cross multiply
    3,870x = 5,340.60 × 2,101.62
  4. Step 4: Simplify right side
    3,870x = 11,223,911.77
  5. Step 5: Solve for x
    x = 11,223,911.77/3,870
  6. Step 6: Final answer
    x = 2,900.24

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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.