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Finding the Fourth Proportional to 5,468.16, 8,202.24 and 2,388

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Solution

The fourth proportional to 5,468.16, 8,202.24 and 2,388 is: 3,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.16 : 8,202.24 = 2,388 : x
  2. Step 2: Convert to fraction form
    5,468.16/8,202.24 = 2,388/x
  3. Step 3: Cross multiply
    5,468.16x = 8,202.24 × 2,388
  4. Step 4: Simplify right side
    5,468.16x = 19,586,949.12
  5. Step 5: Solve for x
    x = 19,586,949.12/5,468.16
  6. Step 6: Final answer
    x = 3,582.00

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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.