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Finding the Fourth Proportional to 5,693.20, 8,535.69 and 3,839.68

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Solution

The fourth proportional to 5,693.20, 8,535.69 and 3,839.68 is: 5,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.20 : 8,535.69 = 3,839.68 : x
  2. Step 2: Convert to fraction form
    5,693.20/8,535.69 = 3,839.68/x
  3. Step 3: Cross multiply
    5,693.20x = 8,535.69 × 3,839.68
  4. Step 4: Simplify right side
    5,693.20x = 32,774,318.18
  5. Step 5: Solve for x
    x = 32,774,318.18/5,693.20
  6. Step 6: Final answer
    x = 5,756.75

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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.