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Finding the Fourth Proportional to 5,222.39, 7,834.59 and 1,524.65

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Solution

The fourth proportional to 5,222.39, 7,834.59 and 1,524.65 is: 2,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.39 : 7,834.59 = 1,524.65 : x
  2. Step 2: Convert to fraction form
    5,222.39/7,834.59 = 1,524.65/x
  3. Step 3: Cross multiply
    5,222.39x = 7,834.59 × 1,524.65
  4. Step 4: Simplify right side
    5,222.39x = 11,944,968.47
  5. Step 5: Solve for x
    x = 11,944,968.47/5,222.39
  6. Step 6: Final answer
    x = 2,287.26

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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.