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Finding the Fourth Proportional to 3,778.13, 5,667.16 and 1,696.99

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Solution

The fourth proportional to 3,778.13, 5,667.16 and 1,696.99 is: 2,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.13 : 5,667.16 = 1,696.99 : x
  2. Step 2: Convert to fraction form
    3,778.13/5,667.16 = 1,696.99/x
  3. Step 3: Cross multiply
    3,778.13x = 5,667.16 × 1,696.99
  4. Step 4: Simplify right side
    3,778.13x = 9,617,113.85
  5. Step 5: Solve for x
    x = 9,617,113.85/3,778.13
  6. Step 6: Final answer
    x = 2,545.47

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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.