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Finding the Fourth Proportional to 4,088.73, 5,642.39 and 3,754

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Solution

The fourth proportional to 4,088.73, 5,642.39 and 3,754 is: 5,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.73 : 5,642.39 = 3,754 : x
  2. Step 2: Convert to fraction form
    4,088.73/5,642.39 = 3,754/x
  3. Step 3: Cross multiply
    4,088.73x = 5,642.39 × 3,754
  4. Step 4: Simplify right side
    4,088.73x = 21,181,532.06
  5. Step 5: Solve for x
    x = 21,181,532.06/4,088.73
  6. Step 6: Final answer
    x = 5,180.47

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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.