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Finding the Fourth Proportional to 5,789.46, 8,684.14 and 1,406.88

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Solution

The fourth proportional to 5,789.46, 8,684.14 and 1,406.88 is: 2,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.46 : 8,684.14 = 1,406.88 : x
  2. Step 2: Convert to fraction form
    5,789.46/8,684.14 = 1,406.88/x
  3. Step 3: Cross multiply
    5,789.46x = 8,684.14 × 1,406.88
  4. Step 4: Simplify right side
    5,789.46x = 12,217,542.88
  5. Step 5: Solve for x
    x = 12,217,542.88/5,789.46
  6. Step 6: Final answer
    x = 2,110.31

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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.