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Finding the Fourth Proportional to 3,596.80, 5,395.50 and 964.70

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Solution

The fourth proportional to 3,596.80, 5,395.50 and 964.70 is: 1,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.80 : 5,395.50 = 964.70 : x
  2. Step 2: Convert to fraction form
    3,596.80/5,395.50 = 964.70/x
  3. Step 3: Cross multiply
    3,596.80x = 5,395.50 × 964.70
  4. Step 4: Simplify right side
    3,596.80x = 5,205,038.85
  5. Step 5: Solve for x
    x = 5,205,038.85/3,596.80
  6. Step 6: Final answer
    x = 1,447.13

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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.