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Finding the Fourth Proportional to 5,396.19, 7,447.85 and 3,405.41

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Solution

The fourth proportional to 5,396.19, 7,447.85 and 3,405.41 is: 4,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.19 : 7,447.85 = 3,405.41 : x
  2. Step 2: Convert to fraction form
    5,396.19/7,447.85 = 3,405.41/x
  3. Step 3: Cross multiply
    5,396.19x = 7,447.85 × 3,405.41
  4. Step 4: Simplify right side
    5,396.19x = 25,362,928.60
  5. Step 5: Solve for x
    x = 25,362,928.60/5,396.19
  6. Step 6: Final answer
    x = 4,700.15

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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.