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Finding the Fourth Proportional to 4,952.44, 7,429.02 and 1,665.88

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Solution

The fourth proportional to 4,952.44, 7,429.02 and 1,665.88 is: 2,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.44 : 7,429.02 = 1,665.88 : x
  2. Step 2: Convert to fraction form
    4,952.44/7,429.02 = 1,665.88/x
  3. Step 3: Cross multiply
    4,952.44x = 7,429.02 × 1,665.88
  4. Step 4: Simplify right side
    4,952.44x = 12,375,855.84
  5. Step 5: Solve for x
    x = 12,375,855.84/4,952.44
  6. Step 6: Final answer
    x = 2,498.94

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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.