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Finding the Fourth Proportional to 5,396.28, 7,446.75 and 3,006.25

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Solution

The fourth proportional to 5,396.28, 7,446.75 and 3,006.25 is: 4,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.28 : 7,446.75 = 3,006.25 : x
  2. Step 2: Convert to fraction form
    5,396.28/7,446.75 = 3,006.25/x
  3. Step 3: Cross multiply
    5,396.28x = 7,446.75 × 3,006.25
  4. Step 4: Simplify right side
    5,396.28x = 22,386,792.19
  5. Step 5: Solve for x
    x = 22,386,792.19/5,396.28
  6. Step 6: Final answer
    x = 4,148.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.