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Finding the Fourth Proportional to 5,714.64, 8,572.86 and 2,427.75

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Solution

The fourth proportional to 5,714.64, 8,572.86 and 2,427.75 is: 3,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.64 : 8,572.86 = 2,427.75 : x
  2. Step 2: Convert to fraction form
    5,714.64/8,572.86 = 2,427.75/x
  3. Step 3: Cross multiply
    5,714.64x = 8,572.86 × 2,427.75
  4. Step 4: Simplify right side
    5,714.64x = 20,812,760.87
  5. Step 5: Solve for x
    x = 20,812,760.87/5,714.64
  6. Step 6: Final answer
    x = 3,642.01

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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.