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Finding the Fourth Proportional to 3,919.69, 5,409.51 and 2,151.64

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Solution

The fourth proportional to 3,919.69, 5,409.51 and 2,151.64 is: 2,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.69 : 5,409.51 = 2,151.64 : x
  2. Step 2: Convert to fraction form
    3,919.69/5,409.51 = 2,151.64/x
  3. Step 3: Cross multiply
    3,919.69x = 5,409.51 × 2,151.64
  4. Step 4: Simplify right side
    3,919.69x = 11,639,318.10
  5. Step 5: Solve for x
    x = 11,639,318.10/3,919.69
  6. Step 6: Final answer
    x = 2,969.45

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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.