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Finding the Fourth Proportional to 5,814.14, 8,713.90 and 2,887.20

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Solution

The fourth proportional to 5,814.14, 8,713.90 and 2,887.20 is: 4,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.14 : 8,713.90 = 2,887.20 : x
  2. Step 2: Convert to fraction form
    5,814.14/8,713.90 = 2,887.20/x
  3. Step 3: Cross multiply
    5,814.14x = 8,713.90 × 2,887.20
  4. Step 4: Simplify right side
    5,814.14x = 25,158,772.08
  5. Step 5: Solve for x
    x = 25,158,772.08/5,814.14
  6. Step 6: Final answer
    x = 4,327.17

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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.