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Finding the Fourth Proportional to 5,850.83, 8,074.68 and 4,594.22

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Solution

The fourth proportional to 5,850.83, 8,074.68 and 4,594.22 is: 6,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.83 : 8,074.68 = 4,594.22 : x
  2. Step 2: Convert to fraction form
    5,850.83/8,074.68 = 4,594.22/x
  3. Step 3: Cross multiply
    5,850.83x = 8,074.68 × 4,594.22
  4. Step 4: Simplify right side
    5,850.83x = 37,096,856.35
  5. Step 5: Solve for x
    x = 37,096,856.35/5,850.83
  6. Step 6: Final answer
    x = 6,340.44

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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.