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Finding the Fourth Proportional to 5,693.33, 8,535.84 and 3,839.84

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Solution

The fourth proportional to 5,693.33, 8,535.84 and 3,839.84 is: 5,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.33 : 8,535.84 = 3,839.84 : x
  2. Step 2: Convert to fraction form
    5,693.33/8,535.84 = 3,839.84/x
  3. Step 3: Cross multiply
    5,693.33x = 8,535.84 × 3,839.84
  4. Step 4: Simplify right side
    5,693.33x = 32,776,259.87
  5. Step 5: Solve for x
    x = 32,776,259.87/5,693.33
  6. Step 6: Final answer
    x = 5,756.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.