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Finding the Fourth Proportional to 3,535.70, 5,299.10 and 3,095.90

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Solution

The fourth proportional to 3,535.70, 5,299.10 and 3,095.90 is: 4,639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.70 : 5,299.10 = 3,095.90 : x
  2. Step 2: Convert to fraction form
    3,535.70/5,299.10 = 3,095.90/x
  3. Step 3: Cross multiply
    3,535.70x = 5,299.10 × 3,095.90
  4. Step 4: Simplify right side
    3,535.70x = 16,405,520.42
  5. Step 5: Solve for x
    x = 16,405,520.42/3,535.70
  6. Step 6: Final answer
    x = 4,639.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.