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Finding the Fourth Proportional to 3,721.84, 5,578.85 and 1,255.81

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Solution

The fourth proportional to 3,721.84, 5,578.85 and 1,255.81 is: 1,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.84 : 5,578.85 = 1,255.81 : x
  2. Step 2: Convert to fraction form
    3,721.84/5,578.85 = 1,255.81/x
  3. Step 3: Cross multiply
    3,721.84x = 5,578.85 × 1,255.81
  4. Step 4: Simplify right side
    3,721.84x = 7,005,975.62
  5. Step 5: Solve for x
    x = 7,005,975.62/3,721.84
  6. Step 6: Final answer
    x = 1,882.40

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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.