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Finding the Fourth Proportional to 3,950.16, 5,926.20 and 1,214.16

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Solution

The fourth proportional to 3,950.16, 5,926.20 and 1,214.16 is: 1,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.16 : 5,926.20 = 1,214.16 : x
  2. Step 2: Convert to fraction form
    3,950.16/5,926.20 = 1,214.16/x
  3. Step 3: Cross multiply
    3,950.16x = 5,926.20 × 1,214.16
  4. Step 4: Simplify right side
    3,950.16x = 7,195,354.99
  5. Step 5: Solve for x
    x = 7,195,354.99/3,950.16
  6. Step 6: Final answer
    x = 1,821.54

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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.