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Finding the Fourth Proportional to 4,926.52, 7,386.02 and 2,463.08

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Solution

The fourth proportional to 4,926.52, 7,386.02 and 2,463.08 is: 3,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.52 : 7,386.02 = 2,463.08 : x
  2. Step 2: Convert to fraction form
    4,926.52/7,386.02 = 2,463.08/x
  3. Step 3: Cross multiply
    4,926.52x = 7,386.02 × 2,463.08
  4. Step 4: Simplify right side
    4,926.52x = 18,192,327.37
  5. Step 5: Solve for x
    x = 18,192,327.37/4,926.52
  6. Step 6: Final answer
    x = 3,692.73

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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.