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Finding the Fourth Proportional to 5,248.04, 7,855.74 and 3,924

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Solution

The fourth proportional to 5,248.04, 7,855.74 and 3,924 is: 5,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.04 : 7,855.74 = 3,924 : x
  2. Step 2: Convert to fraction form
    5,248.04/7,855.74 = 3,924/x
  3. Step 3: Cross multiply
    5,248.04x = 7,855.74 × 3,924
  4. Step 4: Simplify right side
    5,248.04x = 30,825,923.76
  5. Step 5: Solve for x
    x = 30,825,923.76/5,248.04
  6. Step 6: Final answer
    x = 5,873.80

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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.