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Finding the Fourth Proportional to 5,287.68, 7,933.68 and 1,825.20

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Solution

The fourth proportional to 5,287.68, 7,933.68 and 1,825.20 is: 2,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.68 : 7,933.68 = 1,825.20 : x
  2. Step 2: Convert to fraction form
    5,287.68/7,933.68 = 1,825.20/x
  3. Step 3: Cross multiply
    5,287.68x = 7,933.68 × 1,825.20
  4. Step 4: Simplify right side
    5,287.68x = 14,480,552.74
  5. Step 5: Solve for x
    x = 14,480,552.74/5,287.68
  6. Step 6: Final answer
    x = 2,738.55

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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.