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Finding the Fourth Proportional to 5,890.09, 8,124.94 and 3,678.25

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Solution

The fourth proportional to 5,890.09, 8,124.94 and 3,678.25 is: 5,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.09 : 8,124.94 = 3,678.25 : x
  2. Step 2: Convert to fraction form
    5,890.09/8,124.94 = 3,678.25/x
  3. Step 3: Cross multiply
    5,890.09x = 8,124.94 × 3,678.25
  4. Step 4: Simplify right side
    5,890.09x = 29,885,560.56
  5. Step 5: Solve for x
    x = 29,885,560.56/5,890.09
  6. Step 6: Final answer
    x = 5,073.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.