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Finding the Fourth Proportional to 5,640.55, 7,783.45 and 3,122.62

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Solution

The fourth proportional to 5,640.55, 7,783.45 and 3,122.62 is: 4,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.55 : 7,783.45 = 3,122.62 : x
  2. Step 2: Convert to fraction form
    5,640.55/7,783.45 = 3,122.62/x
  3. Step 3: Cross multiply
    5,640.55x = 7,783.45 × 3,122.62
  4. Step 4: Simplify right side
    5,640.55x = 24,304,756.64
  5. Step 5: Solve for x
    x = 24,304,756.64/5,640.55
  6. Step 6: Final answer
    x = 4,308.93

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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.