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Finding the Fourth Proportional to 4,244.36, 5,856.90 and 2,381

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Solution

The fourth proportional to 4,244.36, 5,856.90 and 2,381 is: 3,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.36 : 5,856.90 = 2,381 : x
  2. Step 2: Convert to fraction form
    4,244.36/5,856.90 = 2,381/x
  3. Step 3: Cross multiply
    4,244.36x = 5,856.90 × 2,381
  4. Step 4: Simplify right side
    4,244.36x = 13,945,278.90
  5. Step 5: Solve for x
    x = 13,945,278.90/4,244.36
  6. Step 6: Final answer
    x = 3,285.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.