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Finding the Fourth Proportional to 4,952.37, 7,429.79 and 3,494.37

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Solution

The fourth proportional to 4,952.37, 7,429.79 and 3,494.37 is: 5,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.37 : 7,429.79 = 3,494.37 : x
  2. Step 2: Convert to fraction form
    4,952.37/7,429.79 = 3,494.37/x
  3. Step 3: Cross multiply
    4,952.37x = 7,429.79 × 3,494.37
  4. Step 4: Simplify right side
    4,952.37x = 25,962,444.02
  5. Step 5: Solve for x
    x = 25,962,444.02/4,952.37
  6. Step 6: Final answer
    x = 5,242.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.