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Finding the Fourth Proportional to 3,184.58, 4,394.86 and 2,007.12

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Solution

The fourth proportional to 3,184.58, 4,394.86 and 2,007.12 is: 2,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.58 : 4,394.86 = 2,007.12 : x
  2. Step 2: Convert to fraction form
    3,184.58/4,394.86 = 2,007.12/x
  3. Step 3: Cross multiply
    3,184.58x = 4,394.86 × 2,007.12
  4. Step 4: Simplify right side
    3,184.58x = 8,821,011.40
  5. Step 5: Solve for x
    x = 8,821,011.40/3,184.58
  6. Step 6: Final answer
    x = 2,769.91

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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.