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Finding the Fourth Proportional to 4,086.88, 6,131.04 and 1,314.16

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Solution

The fourth proportional to 4,086.88, 6,131.04 and 1,314.16 is: 1,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.88 : 6,131.04 = 1,314.16 : x
  2. Step 2: Convert to fraction form
    4,086.88/6,131.04 = 1,314.16/x
  3. Step 3: Cross multiply
    4,086.88x = 6,131.04 × 1,314.16
  4. Step 4: Simplify right side
    4,086.88x = 8,057,167.53
  5. Step 5: Solve for x
    x = 8,057,167.53/4,086.88
  6. Step 6: Final answer
    x = 1,971.47

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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.