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Finding the Fourth Proportional to 3,142.33, 4,713.73 and 1,294.31

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Solution

The fourth proportional to 3,142.33, 4,713.73 and 1,294.31 is: 1,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.33 : 4,713.73 = 1,294.31 : x
  2. Step 2: Convert to fraction form
    3,142.33/4,713.73 = 1,294.31/x
  3. Step 3: Cross multiply
    3,142.33x = 4,713.73 × 1,294.31
  4. Step 4: Simplify right side
    3,142.33x = 6,101,036.42
  5. Step 5: Solve for x
    x = 6,101,036.42/3,142.33
  6. Step 6: Final answer
    x = 1,941.57

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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.