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Finding the Fourth Proportional to 3,693.07, 5,540.69 and 1,384.75

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Solution

The fourth proportional to 3,693.07, 5,540.69 and 1,384.75 is: 2,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.07 : 5,540.69 = 1,384.75 : x
  2. Step 2: Convert to fraction form
    3,693.07/5,540.69 = 1,384.75/x
  3. Step 3: Cross multiply
    3,693.07x = 5,540.69 × 1,384.75
  4. Step 4: Simplify right side
    3,693.07x = 7,672,470.48
  5. Step 5: Solve for x
    x = 7,672,470.48/3,693.07
  6. Step 6: Final answer
    x = 2,077.53

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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.