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Finding the Fourth Proportional to 5,713.14, 8,572.38 and 2,018.16

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Solution

The fourth proportional to 5,713.14, 8,572.38 and 2,018.16 is: 3,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.14 : 8,572.38 = 2,018.16 : x
  2. Step 2: Convert to fraction form
    5,713.14/8,572.38 = 2,018.16/x
  3. Step 3: Cross multiply
    5,713.14x = 8,572.38 × 2,018.16
  4. Step 4: Simplify right side
    5,713.14x = 17,300,434.42
  5. Step 5: Solve for x
    x = 17,300,434.42/5,713.14
  6. Step 6: Final answer
    x = 3,028.18

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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.