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Finding the Fourth Proportional to 5,213.52, 7,821.54 and 1,750.68

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Solution

The fourth proportional to 5,213.52, 7,821.54 and 1,750.68 is: 2,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.52 : 7,821.54 = 1,750.68 : x
  2. Step 2: Convert to fraction form
    5,213.52/7,821.54 = 1,750.68/x
  3. Step 3: Cross multiply
    5,213.52x = 7,821.54 × 1,750.68
  4. Step 4: Simplify right side
    5,213.52x = 13,693,013.65
  5. Step 5: Solve for x
    x = 13,693,013.65/5,213.52
  6. Step 6: Final answer
    x = 2,626.44

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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.