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Finding the Fourth Proportional to 3,847.10, 5,773.35 and 1,657.40

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Solution

The fourth proportional to 3,847.10, 5,773.35 and 1,657.40 is: 2,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.10 : 5,773.35 = 1,657.40 : x
  2. Step 2: Convert to fraction form
    3,847.10/5,773.35 = 1,657.40/x
  3. Step 3: Cross multiply
    3,847.10x = 5,773.35 × 1,657.40
  4. Step 4: Simplify right side
    3,847.10x = 9,568,750.29
  5. Step 5: Solve for x
    x = 9,568,750.29/3,847.10
  6. Step 6: Final answer
    x = 2,487.26

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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.