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Finding the Fourth Proportional to 5,242.28, 7,855.19 and 2,468.30

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Solution

The fourth proportional to 5,242.28, 7,855.19 and 2,468.30 is: 3,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.28 : 7,855.19 = 2,468.30 : x
  2. Step 2: Convert to fraction form
    5,242.28/7,855.19 = 2,468.30/x
  3. Step 3: Cross multiply
    5,242.28x = 7,855.19 × 2,468.30
  4. Step 4: Simplify right side
    5,242.28x = 19,388,953.14
  5. Step 5: Solve for x
    x = 19,388,953.14/5,242.28
  6. Step 6: Final answer
    x = 3,698.57

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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.