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Finding the Fourth Proportional to 4,169.54, 5,753.72 and 2,280.77

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Solution

The fourth proportional to 4,169.54, 5,753.72 and 2,280.77 is: 3,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.54 : 5,753.72 = 2,280.77 : x
  2. Step 2: Convert to fraction form
    4,169.54/5,753.72 = 2,280.77/x
  3. Step 3: Cross multiply
    4,169.54x = 5,753.72 × 2,280.77
  4. Step 4: Simplify right side
    4,169.54x = 13,122,871.79
  5. Step 5: Solve for x
    x = 13,122,871.79/4,169.54
  6. Step 6: Final answer
    x = 3,147.32

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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.