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Finding the Fourth Proportional to 5,789.54, 8,684.31 and 1,406.99

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Solution

The fourth proportional to 5,789.54, 8,684.31 and 1,406.99 is: 2,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.54 : 8,684.31 = 1,406.99 : x
  2. Step 2: Convert to fraction form
    5,789.54/8,684.31 = 1,406.99/x
  3. Step 3: Cross multiply
    5,789.54x = 8,684.31 × 1,406.99
  4. Step 4: Simplify right side
    5,789.54x = 12,218,764.31
  5. Step 5: Solve for x
    x = 12,218,764.31/5,789.54
  6. Step 6: Final answer
    x = 2,110.49

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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.