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Finding the Fourth Proportional to 5,789.48, 8,684.22 and 1,406.94

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Solution

The fourth proportional to 5,789.48, 8,684.22 and 1,406.94 is: 2,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.48 : 8,684.22 = 1,406.94 : x
  2. Step 2: Convert to fraction form
    5,789.48/8,684.22 = 1,406.94/x
  3. Step 3: Cross multiply
    5,789.48x = 8,684.22 × 1,406.94
  4. Step 4: Simplify right side
    5,789.48x = 12,218,176.49
  5. Step 5: Solve for x
    x = 12,218,176.49/5,789.48
  6. Step 6: Final answer
    x = 2,110.41

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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.