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Finding the Fourth Proportional to 3,911.72, 5,867.11 and 990.05

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Solution

The fourth proportional to 3,911.72, 5,867.11 and 990.05 is: 1,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.72 : 5,867.11 = 990.05 : x
  2. Step 2: Convert to fraction form
    3,911.72/5,867.11 = 990.05/x
  3. Step 3: Cross multiply
    3,911.72x = 5,867.11 × 990.05
  4. Step 4: Simplify right side
    3,911.72x = 5,808,727.31
  5. Step 5: Solve for x
    x = 5,808,727.31/3,911.72
  6. Step 6: Final answer
    x = 1,484.95

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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.