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Finding the Fourth Proportional to 5,776.80, 8,666.65 and 3,143.59

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Solution

The fourth proportional to 5,776.80, 8,666.65 and 3,143.59 is: 4,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.80 : 8,666.65 = 3,143.59 : x
  2. Step 2: Convert to fraction form
    5,776.80/8,666.65 = 3,143.59/x
  3. Step 3: Cross multiply
    5,776.80x = 8,666.65 × 3,143.59
  4. Step 4: Simplify right side
    5,776.80x = 27,244,407.60
  5. Step 5: Solve for x
    x = 27,244,407.60/5,776.80
  6. Step 6: Final answer
    x = 4,716.17

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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.