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Finding the Fourth Proportional to 5,223.51, 7,834.49 and 1,524.75

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Solution

The fourth proportional to 5,223.51, 7,834.49 and 1,524.75 is: 2,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.51 : 7,834.49 = 1,524.75 : x
  2. Step 2: Convert to fraction form
    5,223.51/7,834.49 = 1,524.75/x
  3. Step 3: Cross multiply
    5,223.51x = 7,834.49 × 1,524.75
  4. Step 4: Simplify right side
    5,223.51x = 11,945,599.46
  5. Step 5: Solve for x
    x = 11,945,599.46/5,223.51
  6. Step 6: Final answer
    x = 2,286.89

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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.