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Finding the Fourth Proportional to 3,415.57, 4,713.49 and 2,158.85

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Solution

The fourth proportional to 3,415.57, 4,713.49 and 2,158.85 is: 2,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.57 : 4,713.49 = 2,158.85 : x
  2. Step 2: Convert to fraction form
    3,415.57/4,713.49 = 2,158.85/x
  3. Step 3: Cross multiply
    3,415.57x = 4,713.49 × 2,158.85
  4. Step 4: Simplify right side
    3,415.57x = 10,175,732.37
  5. Step 5: Solve for x
    x = 10,175,732.37/3,415.57
  6. Step 6: Final answer
    x = 2,979.22

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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.