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Finding the Fourth Proportional to 4,201.65, 5,798.52 and 2,782.86

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Solution

The fourth proportional to 4,201.65, 5,798.52 and 2,782.86 is: 3,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.65 : 5,798.52 = 2,782.86 : x
  2. Step 2: Convert to fraction form
    4,201.65/5,798.52 = 2,782.86/x
  3. Step 3: Cross multiply
    4,201.65x = 5,798.52 × 2,782.86
  4. Step 4: Simplify right side
    4,201.65x = 16,136,469.37
  5. Step 5: Solve for x
    x = 16,136,469.37/4,201.65
  6. Step 6: Final answer
    x = 3,840.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.