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Finding the Fourth Proportional to 3,876.74, 5,814.62 and 1,411.46

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Solution

The fourth proportional to 3,876.74, 5,814.62 and 1,411.46 is: 2,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.74 : 5,814.62 = 1,411.46 : x
  2. Step 2: Convert to fraction form
    3,876.74/5,814.62 = 1,411.46/x
  3. Step 3: Cross multiply
    3,876.74x = 5,814.62 × 1,411.46
  4. Step 4: Simplify right side
    3,876.74x = 8,207,103.55
  5. Step 5: Solve for x
    x = 8,207,103.55/3,876.74
  6. Step 6: Final answer
    x = 2,117.01

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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.