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Finding the Fourth Proportional to 3,883.52, 5,825.36 and 1,543.92

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Solution

The fourth proportional to 3,883.52, 5,825.36 and 1,543.92 is: 2,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.52 : 5,825.36 = 1,543.92 : x
  2. Step 2: Convert to fraction form
    3,883.52/5,825.36 = 1,543.92/x
  3. Step 3: Cross multiply
    3,883.52x = 5,825.36 × 1,543.92
  4. Step 4: Simplify right side
    3,883.52x = 8,993,889.81
  5. Step 5: Solve for x
    x = 8,993,889.81/3,883.52
  6. Step 6: Final answer
    x = 2,315.91

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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.