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Finding the Fourth Proportional to 3,758.99, 5,639.02 and 1,162.13

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Solution

The fourth proportional to 3,758.99, 5,639.02 and 1,162.13 is: 1,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.99 : 5,639.02 = 1,162.13 : x
  2. Step 2: Convert to fraction form
    3,758.99/5,639.02 = 1,162.13/x
  3. Step 3: Cross multiply
    3,758.99x = 5,639.02 × 1,162.13
  4. Step 4: Simplify right side
    3,758.99x = 6,553,243.21
  5. Step 5: Solve for x
    x = 6,553,243.21/3,758.99
  6. Step 6: Final answer
    x = 1,743.35

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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.