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Finding the Fourth Proportional to 3,854.68, 5,313.90 and 2,969.08

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Solution

The fourth proportional to 3,854.68, 5,313.90 and 2,969.08 is: 4,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.68 : 5,313.90 = 2,969.08 : x
  2. Step 2: Convert to fraction form
    3,854.68/5,313.90 = 2,969.08/x
  3. Step 3: Cross multiply
    3,854.68x = 5,313.90 × 2,969.08
  4. Step 4: Simplify right side
    3,854.68x = 15,777,394.21
  5. Step 5: Solve for x
    x = 15,777,394.21/3,854.68
  6. Step 6: Final answer
    x = 4,093.05

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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.