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Finding the Fourth Proportional to 5,640, 7,783.20 and 3,283.71

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Solution

The fourth proportional to 5,640, 7,783.20 and 3,283.71 is: 4,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640 : 7,783.20 = 3,283.71 : x
  2. Step 2: Convert to fraction form
    5,640/7,783.20 = 3,283.71/x
  3. Step 3: Cross multiply
    5,640x = 7,783.20 × 3,283.71
  4. Step 4: Simplify right side
    5,640x = 25,557,771.67
  5. Step 5: Solve for x
    x = 25,557,771.67/5,640
  6. Step 6: Final answer
    x = 4,531.52

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