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Finding the Fourth Proportional to 3,184.53, 4,776.75 and 993.30

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Solution

The fourth proportional to 3,184.53, 4,776.75 and 993.30 is: 1,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.53 : 4,776.75 = 993.30 : x
  2. Step 2: Convert to fraction form
    3,184.53/4,776.75 = 993.30/x
  3. Step 3: Cross multiply
    3,184.53x = 4,776.75 × 993.30
  4. Step 4: Simplify right side
    3,184.53x = 4,744,745.78
  5. Step 5: Solve for x
    x = 4,744,745.78/3,184.53
  6. Step 6: Final answer
    x = 1,489.94

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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.