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Finding the Fourth Proportional to 4,192.71, 5,788.65 and 2,601.06

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Solution

The fourth proportional to 4,192.71, 5,788.65 and 2,601.06 is: 3,591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.71 : 5,788.65 = 2,601.06 : x
  2. Step 2: Convert to fraction form
    4,192.71/5,788.65 = 2,601.06/x
  3. Step 3: Cross multiply
    4,192.71x = 5,788.65 × 2,601.06
  4. Step 4: Simplify right side
    4,192.71x = 15,056,625.97
  5. Step 5: Solve for x
    x = 15,056,625.97/4,192.71
  6. Step 6: Final answer
    x = 3,591.14

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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.