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Finding the Fourth Proportional to 5,396.19, 7,447.83 and 3,405.42

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Solution

The fourth proportional to 5,396.19, 7,447.83 and 3,405.42 is: 4,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.19 : 7,447.83 = 3,405.42 : x
  2. Step 2: Convert to fraction form
    5,396.19/7,447.83 = 3,405.42/x
  3. Step 3: Cross multiply
    5,396.19x = 7,447.83 × 3,405.42
  4. Step 4: Simplify right side
    5,396.19x = 25,362,989.24
  5. Step 5: Solve for x
    x = 25,362,989.24/5,396.19
  6. Step 6: Final answer
    x = 4,700.17

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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.