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Finding the Fourth Proportional to 4,176.78, 5,763.72 and 2,288

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Solution

The fourth proportional to 4,176.78, 5,763.72 and 2,288 is: 3,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.78 : 5,763.72 = 2,288 : x
  2. Step 2: Convert to fraction form
    4,176.78/5,763.72 = 2,288/x
  3. Step 3: Cross multiply
    4,176.78x = 5,763.72 × 2,288
  4. Step 4: Simplify right side
    4,176.78x = 13,187,391.36
  5. Step 5: Solve for x
    x = 13,187,391.36/4,176.78
  6. Step 6: Final answer
    x = 3,157.31

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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.