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Finding the Fourth Proportional to 3,812.55, 5,714.91 and 1,471.11

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Solution

The fourth proportional to 3,812.55, 5,714.91 and 1,471.11 is: 2,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.55 : 5,714.91 = 1,471.11 : x
  2. Step 2: Convert to fraction form
    3,812.55/5,714.91 = 1,471.11/x
  3. Step 3: Cross multiply
    3,812.55x = 5,714.91 × 1,471.11
  4. Step 4: Simplify right side
    3,812.55x = 8,407,261.25
  5. Step 5: Solve for x
    x = 8,407,261.25/3,812.55
  6. Step 6: Final answer
    x = 2,205.15

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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.