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Finding the Fourth Proportional to 3,870, 5,338.32 and 2,298

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Solution

The fourth proportional to 3,870, 5,338.32 and 2,298 is: 3,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 5,338.32 = 2,298 : x
  2. Step 2: Convert to fraction form
    3,870/5,338.32 = 2,298/x
  3. Step 3: Cross multiply
    3,870x = 5,338.32 × 2,298
  4. Step 4: Simplify right side
    3,870x = 12,267,459.36
  5. Step 5: Solve for x
    x = 12,267,459.36/3,870
  6. Step 6: Final answer
    x = 3,169.89

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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.