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Finding the Fourth Proportional to 3,902.76, 5,856.46 and 1,563.89

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Solution

The fourth proportional to 3,902.76, 5,856.46 and 1,563.89 is: 2,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.76 : 5,856.46 = 1,563.89 : x
  2. Step 2: Convert to fraction form
    3,902.76/5,856.46 = 1,563.89/x
  3. Step 3: Cross multiply
    3,902.76x = 5,856.46 × 1,563.89
  4. Step 4: Simplify right side
    3,902.76x = 9,158,826.04
  5. Step 5: Solve for x
    x = 9,158,826.04/3,902.76
  6. Step 6: Final answer
    x = 2,346.76

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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.