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Finding the Fourth Proportional to 5,218.24, 7,823.04 and 2,624.08

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Solution

The fourth proportional to 5,218.24, 7,823.04 and 2,624.08 is: 3,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.24 : 7,823.04 = 2,624.08 : x
  2. Step 2: Convert to fraction form
    5,218.24/7,823.04 = 2,624.08/x
  3. Step 3: Cross multiply
    5,218.24x = 7,823.04 × 2,624.08
  4. Step 4: Simplify right side
    5,218.24x = 20,528,282.80
  5. Step 5: Solve for x
    x = 20,528,282.80/5,218.24
  6. Step 6: Final answer
    x = 3,933.95

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