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Finding the Fourth Proportional to 4,151.86, 5,728.22 and 2,473.54

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Solution

The fourth proportional to 4,151.86, 5,728.22 and 2,473.54 is: 3,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.86 : 5,728.22 = 2,473.54 : x
  2. Step 2: Convert to fraction form
    4,151.86/5,728.22 = 2,473.54/x
  3. Step 3: Cross multiply
    4,151.86x = 5,728.22 × 2,473.54
  4. Step 4: Simplify right side
    4,151.86x = 14,168,963.89
  5. Step 5: Solve for x
    x = 14,168,963.89/4,151.86
  6. Step 6: Final answer
    x = 3,412.68

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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.