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Finding the Fourth Proportional to 3,106.97, 4,287.62 and 1,709.72

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Solution

The fourth proportional to 3,106.97, 4,287.62 and 1,709.72 is: 2,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.97 : 4,287.62 = 1,709.72 : x
  2. Step 2: Convert to fraction form
    3,106.97/4,287.62 = 1,709.72/x
  3. Step 3: Cross multiply
    3,106.97x = 4,287.62 × 1,709.72
  4. Step 4: Simplify right side
    3,106.97x = 7,330,628.58
  5. Step 5: Solve for x
    x = 7,330,628.58/3,106.97
  6. Step 6: Final answer
    x = 2,359.41

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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.