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Finding the Fourth Proportional to 3,645.07, 5,464.08 and 1,178.21

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Solution

The fourth proportional to 3,645.07, 5,464.08 and 1,178.21 is: 1,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.07 : 5,464.08 = 1,178.21 : x
  2. Step 2: Convert to fraction form
    3,645.07/5,464.08 = 1,178.21/x
  3. Step 3: Cross multiply
    3,645.07x = 5,464.08 × 1,178.21
  4. Step 4: Simplify right side
    3,645.07x = 6,437,847.36
  5. Step 5: Solve for x
    x = 6,437,847.36/3,645.07
  6. Step 6: Final answer
    x = 1,766.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.