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Finding the Fourth Proportional to 5,955.08, 8,228.22 and 5,744.84

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Solution

The fourth proportional to 5,955.08, 8,228.22 and 5,744.84 is: 7,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955.08 : 8,228.22 = 5,744.84 : x
  2. Step 2: Convert to fraction form
    5,955.08/8,228.22 = 5,744.84/x
  3. Step 3: Cross multiply
    5,955.08x = 8,228.22 × 5,744.84
  4. Step 4: Simplify right side
    5,955.08x = 47,269,807.38
  5. Step 5: Solve for x
    x = 47,269,807.38/5,955.08
  6. Step 6: Final answer
    x = 7,937.73

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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.