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Finding the Fourth Proportional to 5,853.90, 8,073.11 and 3,866.46

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Solution

The fourth proportional to 5,853.90, 8,073.11 and 3,866.46 is: 5,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.90 : 8,073.11 = 3,866.46 : x
  2. Step 2: Convert to fraction form
    5,853.90/8,073.11 = 3,866.46/x
  3. Step 3: Cross multiply
    5,853.90x = 8,073.11 × 3,866.46
  4. Step 4: Simplify right side
    5,853.90x = 31,214,337.56
  5. Step 5: Solve for x
    x = 31,214,337.56/5,853.90
  6. Step 6: Final answer
    x = 5,332.23

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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.