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Finding the Fourth Proportional to 3,449.29, 4,760 and 1,877.38

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Solution

The fourth proportional to 3,449.29, 4,760 and 1,877.38 is: 2,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.29 : 4,760 = 1,877.38 : x
  2. Step 2: Convert to fraction form
    3,449.29/4,760 = 1,877.38/x
  3. Step 3: Cross multiply
    3,449.29x = 4,760 × 1,877.38
  4. Step 4: Simplify right side
    3,449.29x = 8,936,328.80
  5. Step 5: Solve for x
    x = 8,936,328.80/3,449.29
  6. Step 6: Final answer
    x = 2,590.77

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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.