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Finding the Fourth Proportional to 3,876.06, 5,815.64 and 1,411.05

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Solution

The fourth proportional to 3,876.06, 5,815.64 and 1,411.05 is: 2,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.06 : 5,815.64 = 1,411.05 : x
  2. Step 2: Convert to fraction form
    3,876.06/5,815.64 = 1,411.05/x
  3. Step 3: Cross multiply
    3,876.06x = 5,815.64 × 1,411.05
  4. Step 4: Simplify right side
    3,876.06x = 8,206,162.35
  5. Step 5: Solve for x
    x = 8,206,162.35/3,876.06
  6. Step 6: Final answer
    x = 2,117.14

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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.