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Finding the Fourth Proportional to 3,614.07, 5,422.16 and 1,242.74

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Solution

The fourth proportional to 3,614.07, 5,422.16 and 1,242.74 is: 1,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.07 : 5,422.16 = 1,242.74 : x
  2. Step 2: Convert to fraction form
    3,614.07/5,422.16 = 1,242.74/x
  3. Step 3: Cross multiply
    3,614.07x = 5,422.16 × 1,242.74
  4. Step 4: Simplify right side
    3,614.07x = 6,738,351.78
  5. Step 5: Solve for x
    x = 6,738,351.78/3,614.07
  6. Step 6: Final answer
    x = 1,864.48

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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.