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Finding the Fourth Proportional to 3,870.52, 5,344.85 and 2,814.37

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Solution

The fourth proportional to 3,870.52, 5,344.85 and 2,814.37 is: 3,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.52 : 5,344.85 = 2,814.37 : x
  2. Step 2: Convert to fraction form
    3,870.52/5,344.85 = 2,814.37/x
  3. Step 3: Cross multiply
    3,870.52x = 5,344.85 × 2,814.37
  4. Step 4: Simplify right side
    3,870.52x = 15,042,379.17
  5. Step 5: Solve for x
    x = 15,042,379.17/3,870.52
  6. Step 6: Final answer
    x = 3,886.40

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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.