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Finding the Fourth Proportional to 5,396.56, 7,447.32 and 3,038.68

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Solution

The fourth proportional to 5,396.56, 7,447.32 and 3,038.68 is: 4,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.56 : 7,447.32 = 3,038.68 : x
  2. Step 2: Convert to fraction form
    5,396.56/7,447.32 = 3,038.68/x
  3. Step 3: Cross multiply
    5,396.56x = 7,447.32 × 3,038.68
  4. Step 4: Simplify right side
    5,396.56x = 22,630,022.34
  5. Step 5: Solve for x
    x = 22,630,022.34/5,396.56
  6. Step 6: Final answer
    x = 4,193.42

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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.