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Finding the Fourth Proportional to 4,176.93, 5,764.28 and 2,288.68

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Solution

The fourth proportional to 4,176.93, 5,764.28 and 2,288.68 is: 3,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.93 : 5,764.28 = 2,288.68 : x
  2. Step 2: Convert to fraction form
    4,176.93/5,764.28 = 2,288.68/x
  3. Step 3: Cross multiply
    4,176.93x = 5,764.28 × 2,288.68
  4. Step 4: Simplify right side
    4,176.93x = 13,192,587.95
  5. Step 5: Solve for x
    x = 13,192,587.95/4,176.93
  6. Step 6: Final answer
    x = 3,158.44

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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.