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Finding the Fourth Proportional to 3,876.16, 5,811.20 and 2,416

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Solution

The fourth proportional to 3,876.16, 5,811.20 and 2,416 is: 3,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.16 : 5,811.20 = 2,416 : x
  2. Step 2: Convert to fraction form
    3,876.16/5,811.20 = 2,416/x
  3. Step 3: Cross multiply
    3,876.16x = 5,811.20 × 2,416
  4. Step 4: Simplify right side
    3,876.16x = 14,039,859.20
  5. Step 5: Solve for x
    x = 14,039,859.20/3,876.16
  6. Step 6: Final answer
    x = 3,622.11

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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.