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Finding the Fourth Proportional to 5,396.82, 7,447.20 and 3,038.50

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Solution

The fourth proportional to 5,396.82, 7,447.20 and 3,038.50 is: 4,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.82 : 7,447.20 = 3,038.50 : x
  2. Step 2: Convert to fraction form
    5,396.82/7,447.20 = 3,038.50/x
  3. Step 3: Cross multiply
    5,396.82x = 7,447.20 × 3,038.50
  4. Step 4: Simplify right side
    5,396.82x = 22,628,317.20
  5. Step 5: Solve for x
    x = 22,628,317.20/5,396.82
  6. Step 6: Final answer
    x = 4,192.90

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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.