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Finding the Fourth Proportional to 3,876.48, 5,815.25 and 1,411.02

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Solution

The fourth proportional to 3,876.48, 5,815.25 and 1,411.02 is: 2,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.48 : 5,815.25 = 1,411.02 : x
  2. Step 2: Convert to fraction form
    3,876.48/5,815.25 = 1,411.02/x
  3. Step 3: Cross multiply
    3,876.48x = 5,815.25 × 1,411.02
  4. Step 4: Simplify right side
    3,876.48x = 8,205,434.06
  5. Step 5: Solve for x
    x = 8,205,434.06/3,876.48
  6. Step 6: Final answer
    x = 2,116.72

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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.