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Finding the Fourth Proportional to 3,865.16, 5,789.98 and 1,782.24

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Solution

The fourth proportional to 3,865.16, 5,789.98 and 1,782.24 is: 2,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.16 : 5,789.98 = 1,782.24 : x
  2. Step 2: Convert to fraction form
    3,865.16/5,789.98 = 1,782.24/x
  3. Step 3: Cross multiply
    3,865.16x = 5,789.98 × 1,782.24
  4. Step 4: Simplify right side
    3,865.16x = 10,319,133.96
  5. Step 5: Solve for x
    x = 10,319,133.96/3,865.16
  6. Step 6: Final answer
    x = 2,669.78

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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.