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Finding the Fourth Proportional to 3,876.29, 5,814.51 and 1,102.98

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Solution

The fourth proportional to 3,876.29, 5,814.51 and 1,102.98 is: 1,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.29 : 5,814.51 = 1,102.98 : x
  2. Step 2: Convert to fraction form
    3,876.29/5,814.51 = 1,102.98/x
  3. Step 3: Cross multiply
    3,876.29x = 5,814.51 × 1,102.98
  4. Step 4: Simplify right side
    3,876.29x = 6,413,288.24
  5. Step 5: Solve for x
    x = 6,413,288.24/3,876.29
  6. Step 6: Final answer
    x = 1,654.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.