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Finding the Fourth Proportional to 3,431.65, 4,735.30 and 2,535.87

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Solution

The fourth proportional to 3,431.65, 4,735.30 and 2,535.87 is: 3,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.65 : 4,735.30 = 2,535.87 : x
  2. Step 2: Convert to fraction form
    3,431.65/4,735.30 = 2,535.87/x
  3. Step 3: Cross multiply
    3,431.65x = 4,735.30 × 2,535.87
  4. Step 4: Simplify right side
    3,431.65x = 12,008,105.21
  5. Step 5: Solve for x
    x = 12,008,105.21/3,431.65
  6. Step 6: Final answer
    x = 3,499.22

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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.