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Finding the Fourth Proportional to 5,188.66, 7,782.99 and 2,267.19

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Solution

The fourth proportional to 5,188.66, 7,782.99 and 2,267.19 is: 3,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.66 : 7,782.99 = 2,267.19 : x
  2. Step 2: Convert to fraction form
    5,188.66/7,782.99 = 2,267.19/x
  3. Step 3: Cross multiply
    5,188.66x = 7,782.99 × 2,267.19
  4. Step 4: Simplify right side
    5,188.66x = 17,645,508.60
  5. Step 5: Solve for x
    x = 17,645,508.60/5,188.66
  6. Step 6: Final answer
    x = 3,400.79

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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.