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Finding the Fourth Proportional to 5,396.84, 7,447.68 and 3,039.02

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Solution

The fourth proportional to 5,396.84, 7,447.68 and 3,039.02 is: 4,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.84 : 7,447.68 = 3,039.02 : x
  2. Step 2: Convert to fraction form
    5,396.84/7,447.68 = 3,039.02/x
  3. Step 3: Cross multiply
    5,396.84x = 7,447.68 × 3,039.02
  4. Step 4: Simplify right side
    5,396.84x = 22,633,648.47
  5. Step 5: Solve for x
    x = 22,633,648.47/5,396.84
  6. Step 6: Final answer
    x = 4,193.87

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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.