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Finding the Fourth Proportional to 5,318.92, 7,970.94 and 2,396.20

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Solution

The fourth proportional to 5,318.92, 7,970.94 and 2,396.20 is: 3,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.92 : 7,970.94 = 2,396.20 : x
  2. Step 2: Convert to fraction form
    5,318.92/7,970.94 = 2,396.20/x
  3. Step 3: Cross multiply
    5,318.92x = 7,970.94 × 2,396.20
  4. Step 4: Simplify right side
    5,318.92x = 19,099,966.43
  5. Step 5: Solve for x
    x = 19,099,966.43/5,318.92
  6. Step 6: Final answer
    x = 3,590.95

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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.