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Finding the Fourth Proportional to 5,850.56, 8,074 and 3,333.08

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Solution

The fourth proportional to 5,850.56, 8,074 and 3,333.08 is: 4,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.56 : 8,074 = 3,333.08 : x
  2. Step 2: Convert to fraction form
    5,850.56/8,074 = 3,333.08/x
  3. Step 3: Cross multiply
    5,850.56x = 8,074 × 3,333.08
  4. Step 4: Simplify right side
    5,850.56x = 26,911,287.92
  5. Step 5: Solve for x
    x = 26,911,287.92/5,850.56
  6. Step 6: Final answer
    x = 4,599.78

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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.