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Finding the Fourth Proportional to 5,640.48, 7,783.68 and 3,122.50

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Solution

The fourth proportional to 5,640.48, 7,783.68 and 3,122.50 is: 4,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.48 : 7,783.68 = 3,122.50 : x
  2. Step 2: Convert to fraction form
    5,640.48/7,783.68 = 3,122.50/x
  3. Step 3: Cross multiply
    5,640.48x = 7,783.68 × 3,122.50
  4. Step 4: Simplify right side
    5,640.48x = 24,304,540.80
  5. Step 5: Solve for x
    x = 24,304,540.80/5,640.48
  6. Step 6: Final answer
    x = 4,308.95

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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.