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Finding the Fourth Proportional to 3,919.64, 5,409.13 and 2,151.31

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Solution

The fourth proportional to 3,919.64, 5,409.13 and 2,151.31 is: 2,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.64 : 5,409.13 = 2,151.31 : x
  2. Step 2: Convert to fraction form
    3,919.64/5,409.13 = 2,151.31/x
  3. Step 3: Cross multiply
    3,919.64x = 5,409.13 × 2,151.31
  4. Step 4: Simplify right side
    3,919.64x = 11,636,710.74
  5. Step 5: Solve for x
    x = 11,636,710.74/3,919.64
  6. Step 6: Final answer
    x = 2,968.82

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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.