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Finding the Fourth Proportional to 5,836.90, 8,065.41 and 4,437.22

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Solution

The fourth proportional to 5,836.90, 8,065.41 and 4,437.22 is: 6,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.90 : 8,065.41 = 4,437.22 : x
  2. Step 2: Convert to fraction form
    5,836.90/8,065.41 = 4,437.22/x
  3. Step 3: Cross multiply
    5,836.90x = 8,065.41 × 4,437.22
  4. Step 4: Simplify right side
    5,836.90x = 35,787,998.56
  5. Step 5: Solve for x
    x = 35,787,998.56/5,836.90
  6. Step 6: Final answer
    x = 6,131.34

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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.