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Finding the Fourth Proportional to 4,191.34, 5,786.76 and 2,599.68

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Solution

The fourth proportional to 4,191.34, 5,786.76 and 2,599.68 is: 3,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.34 : 5,786.76 = 2,599.68 : x
  2. Step 2: Convert to fraction form
    4,191.34/5,786.76 = 2,599.68/x
  3. Step 3: Cross multiply
    4,191.34x = 5,786.76 × 2,599.68
  4. Step 4: Simplify right side
    4,191.34x = 15,043,711.24
  5. Step 5: Solve for x
    x = 15,043,711.24/4,191.34
  6. Step 6: Final answer
    x = 3,589.24

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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.