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Finding the Fourth Proportional to 4,153.41, 5,728.47 and 2,661.47

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Solution

The fourth proportional to 4,153.41, 5,728.47 and 2,661.47 is: 3,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.41 : 5,728.47 = 2,661.47 : x
  2. Step 2: Convert to fraction form
    4,153.41/5,728.47 = 2,661.47/x
  3. Step 3: Cross multiply
    4,153.41x = 5,728.47 × 2,661.47
  4. Step 4: Simplify right side
    4,153.41x = 15,246,151.05
  5. Step 5: Solve for x
    x = 15,246,151.05/4,153.41
  6. Step 6: Final answer
    x = 3,670.76

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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.