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Finding the Fourth Proportional to 4,944, 7,374.02 and 4,169.12

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Solution

The fourth proportional to 4,944, 7,374.02 and 4,169.12 is: 6,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944 : 7,374.02 = 4,169.12 : x
  2. Step 2: Convert to fraction form
    4,944/7,374.02 = 4,169.12/x
  3. Step 3: Cross multiply
    4,944x = 7,374.02 × 4,169.12
  4. Step 4: Simplify right side
    4,944x = 30,743,174.26
  5. Step 5: Solve for x
    x = 30,743,174.26/4,944
  6. Step 6: Final answer
    x = 6,218.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.