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Finding the Fourth Proportional to 3,888.74, 5,833.12 and 967.05

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Solution

The fourth proportional to 3,888.74, 5,833.12 and 967.05 is: 1,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.74 : 5,833.12 = 967.05 : x
  2. Step 2: Convert to fraction form
    3,888.74/5,833.12 = 967.05/x
  3. Step 3: Cross multiply
    3,888.74x = 5,833.12 × 967.05
  4. Step 4: Simplify right side
    3,888.74x = 5,640,919.90
  5. Step 5: Solve for x
    x = 5,640,919.90/3,888.74
  6. Step 6: Final answer
    x = 1,450.58

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Similar ratio
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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.