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Finding the Fourth Proportional to 5,670.58, 7,822.87 and 3,311.68

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Solution

The fourth proportional to 5,670.58, 7,822.87 and 3,311.68 is: 4,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.58 : 7,822.87 = 3,311.68 : x
  2. Step 2: Convert to fraction form
    5,670.58/7,822.87 = 3,311.68/x
  3. Step 3: Cross multiply
    5,670.58x = 7,822.87 × 3,311.68
  4. Step 4: Simplify right side
    5,670.58x = 25,906,842.12
  5. Step 5: Solve for x
    x = 25,906,842.12/5,670.58
  6. Step 6: Final answer
    x = 4,568.64

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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.