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Finding the Fourth Proportional to 3,599.49, 5,399.24 and 1,406.68

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Solution

The fourth proportional to 3,599.49, 5,399.24 and 1,406.68 is: 2,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.49 : 5,399.24 = 1,406.68 : x
  2. Step 2: Convert to fraction form
    3,599.49/5,399.24 = 1,406.68/x
  3. Step 3: Cross multiply
    3,599.49x = 5,399.24 × 1,406.68
  4. Step 4: Simplify right side
    3,599.49x = 7,595,002.92
  5. Step 5: Solve for x
    x = 7,595,002.92/3,599.49
  6. Step 6: Final answer
    x = 2,110.02

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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.