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Finding the Fourth Proportional to 5,410.95, 7,465.81 and 3,286.42

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Solution

The fourth proportional to 5,410.95, 7,465.81 and 3,286.42 is: 4,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.95 : 7,465.81 = 3,286.42 : x
  2. Step 2: Convert to fraction form
    5,410.95/7,465.81 = 3,286.42/x
  3. Step 3: Cross multiply
    5,410.95x = 7,465.81 × 3,286.42
  4. Step 4: Simplify right side
    5,410.95x = 24,535,787.30
  5. Step 5: Solve for x
    x = 24,535,787.30/5,410.95
  6. Step 6: Final answer
    x = 4,534.47

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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.