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Finding the Fourth Proportional to 4,176.89, 5,764.10 and 2,288.47

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Solution

The fourth proportional to 4,176.89, 5,764.10 and 2,288.47 is: 3,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.89 : 5,764.10 = 2,288.47 : x
  2. Step 2: Convert to fraction form
    4,176.89/5,764.10 = 2,288.47/x
  3. Step 3: Cross multiply
    4,176.89x = 5,764.10 × 2,288.47
  4. Step 4: Simplify right side
    4,176.89x = 13,190,969.93
  5. Step 5: Solve for x
    x = 13,190,969.93/4,176.89
  6. Step 6: Final answer
    x = 3,158.08

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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.