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Finding the Fourth Proportional to 3,948.99, 5,447.88 and 2,270.01

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Solution

The fourth proportional to 3,948.99, 5,447.88 and 2,270.01 is: 3,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.99 : 5,447.88 = 2,270.01 : x
  2. Step 2: Convert to fraction form
    3,948.99/5,447.88 = 2,270.01/x
  3. Step 3: Cross multiply
    3,948.99x = 5,447.88 × 2,270.01
  4. Step 4: Simplify right side
    3,948.99x = 12,366,742.08
  5. Step 5: Solve for x
    x = 12,366,742.08/3,948.99
  6. Step 6: Final answer
    x = 3,131.62

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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.