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Finding the Fourth Proportional to 5,866.63, 8,095.89 and 3,177.80

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Solution

The fourth proportional to 5,866.63, 8,095.89 and 3,177.80 is: 4,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.63 : 8,095.89 = 3,177.80 : x
  2. Step 2: Convert to fraction form
    5,866.63/8,095.89 = 3,177.80/x
  3. Step 3: Cross multiply
    5,866.63x = 8,095.89 × 3,177.80
  4. Step 4: Simplify right side
    5,866.63x = 25,727,107.33
  5. Step 5: Solve for x
    x = 25,727,107.33/5,866.63
  6. Step 6: Final answer
    x = 4,385.33

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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.