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Finding the Fourth Proportional to 3,530.46, 4,872.06 and 1,958.57

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Solution

The fourth proportional to 3,530.46, 4,872.06 and 1,958.57 is: 2,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.46 : 4,872.06 = 1,958.57 : x
  2. Step 2: Convert to fraction form
    3,530.46/4,872.06 = 1,958.57/x
  3. Step 3: Cross multiply
    3,530.46x = 4,872.06 × 1,958.57
  4. Step 4: Simplify right side
    3,530.46x = 9,542,246.19
  5. Step 5: Solve for x
    x = 9,542,246.19/3,530.46
  6. Step 6: Final answer
    x = 2,702.83

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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.