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Finding the Fourth Proportional to 3,223.79, 4,835.71 and 1,143.85

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Solution

The fourth proportional to 3,223.79, 4,835.71 and 1,143.85 is: 1,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.79 : 4,835.71 = 1,143.85 : x
  2. Step 2: Convert to fraction form
    3,223.79/4,835.71 = 1,143.85/x
  3. Step 3: Cross multiply
    3,223.79x = 4,835.71 × 1,143.85
  4. Step 4: Simplify right side
    3,223.79x = 5,531,326.88
  5. Step 5: Solve for x
    x = 5,531,326.88/3,223.79
  6. Step 6: Final answer
    x = 1,715.78

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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.