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Finding the Fourth Proportional to 3,532.65, 5,299.19 and 935.58

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Solution

The fourth proportional to 3,532.65, 5,299.19 and 935.58 is: 1,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.65 : 5,299.19 = 935.58 : x
  2. Step 2: Convert to fraction form
    3,532.65/5,299.19 = 935.58/x
  3. Step 3: Cross multiply
    3,532.65x = 5,299.19 × 935.58
  4. Step 4: Simplify right side
    3,532.65x = 4,957,811.50
  5. Step 5: Solve for x
    x = 4,957,811.50/3,532.65
  6. Step 6: Final answer
    x = 1,403.43

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1.5x scale

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.