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Finding the Fourth Proportional to 5,640.85, 7,785.30 and 3,284.38

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Solution

The fourth proportional to 5,640.85, 7,785.30 and 3,284.38 is: 4,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.85 : 7,785.30 = 3,284.38 : x
  2. Step 2: Convert to fraction form
    5,640.85/7,785.30 = 3,284.38/x
  3. Step 3: Cross multiply
    5,640.85x = 7,785.30 × 3,284.38
  4. Step 4: Simplify right side
    5,640.85x = 25,569,883.61
  5. Step 5: Solve for x
    x = 25,569,883.61/5,640.85
  6. Step 6: Final answer
    x = 4,532.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.