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Finding the Fourth Proportional to 3,138.58, 4,329.42 and 2,604.41

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Solution

The fourth proportional to 3,138.58, 4,329.42 and 2,604.41 is: 3,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.58 : 4,329.42 = 2,604.41 : x
  2. Step 2: Convert to fraction form
    3,138.58/4,329.42 = 2,604.41/x
  3. Step 3: Cross multiply
    3,138.58x = 4,329.42 × 2,604.41
  4. Step 4: Simplify right side
    3,138.58x = 11,275,563.10
  5. Step 5: Solve for x
    x = 11,275,563.10/3,138.58
  6. Step 6: Final answer
    x = 3,592.57

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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.