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Finding the Fourth Proportional to 5,222.48, 7,834.12 and 1,524.62

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Solution

The fourth proportional to 5,222.48, 7,834.12 and 1,524.62 is: 2,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.48 : 7,834.12 = 1,524.62 : x
  2. Step 2: Convert to fraction form
    5,222.48/7,834.12 = 1,524.62/x
  3. Step 3: Cross multiply
    5,222.48x = 7,834.12 × 1,524.62
  4. Step 4: Simplify right side
    5,222.48x = 11,944,071.81
  5. Step 5: Solve for x
    x = 11,944,071.81/5,222.48
  6. Step 6: Final answer
    x = 2,287.05

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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.