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Finding the Fourth Proportional to 3,902.85, 5,856.48 and 1,563.03

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Solution

The fourth proportional to 3,902.85, 5,856.48 and 1,563.03 is: 2,345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.85 : 5,856.48 = 1,563.03 : x
  2. Step 2: Convert to fraction form
    3,902.85/5,856.48 = 1,563.03/x
  3. Step 3: Cross multiply
    3,902.85x = 5,856.48 × 1,563.03
  4. Step 4: Simplify right side
    3,902.85x = 9,153,853.93
  5. Step 5: Solve for x
    x = 9,153,853.93/3,902.85
  6. Step 6: Final answer
    x = 2,345.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.