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Finding the Fourth Proportional to 3,530.70, 4,872.42 and 1,958.67

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Solution

The fourth proportional to 3,530.70, 4,872.42 and 1,958.67 is: 2,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.70 : 4,872.42 = 1,958.67 : x
  2. Step 2: Convert to fraction form
    3,530.70/4,872.42 = 1,958.67/x
  3. Step 3: Cross multiply
    3,530.70x = 4,872.42 × 1,958.67
  4. Step 4: Simplify right side
    3,530.70x = 9,543,462.88
  5. Step 5: Solve for x
    x = 9,543,462.88/3,530.70
  6. Step 6: Final answer
    x = 2,702.99

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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.