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Finding the Fourth Proportional to 5,714.41, 8,574.86 and 2,427.16

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Solution

The fourth proportional to 5,714.41, 8,574.86 and 2,427.16 is: 3,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.41 : 8,574.86 = 2,427.16 : x
  2. Step 2: Convert to fraction form
    5,714.41/8,574.86 = 2,427.16/x
  3. Step 3: Cross multiply
    5,714.41x = 8,574.86 × 2,427.16
  4. Step 4: Simplify right side
    5,714.41x = 20,812,557.20
  5. Step 5: Solve for x
    x = 20,812,557.20/5,714.41
  6. Step 6: Final answer
    x = 3,642.12

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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.