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Finding the Fourth Proportional to 4,194.68, 5,786.83 and 2,600.91

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Solution

The fourth proportional to 4,194.68, 5,786.83 and 2,600.91 is: 3,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.68 : 5,786.83 = 2,600.91 : x
  2. Step 2: Convert to fraction form
    4,194.68/5,786.83 = 2,600.91/x
  3. Step 3: Cross multiply
    4,194.68x = 5,786.83 × 2,600.91
  4. Step 4: Simplify right side
    4,194.68x = 15,051,024.02
  5. Step 5: Solve for x
    x = 15,051,024.02/4,194.68
  6. Step 6: Final answer
    x = 3,588.12

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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.