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Finding the Fourth Proportional to 4,178.33, 5,766 and 2,289.82

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Solution

The fourth proportional to 4,178.33, 5,766 and 2,289.82 is: 3,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.33 : 5,766 = 2,289.82 : x
  2. Step 2: Convert to fraction form
    4,178.33/5,766 = 2,289.82/x
  3. Step 3: Cross multiply
    4,178.33x = 5,766 × 2,289.82
  4. Step 4: Simplify right side
    4,178.33x = 13,203,102.12
  5. Step 5: Solve for x
    x = 13,203,102.12/4,178.33
  6. Step 6: Final answer
    x = 3,159.90

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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.