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Finding the Fourth Proportional to 3,107.16, 4,287.82 and 1,709.88

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Solution

The fourth proportional to 3,107.16, 4,287.82 and 1,709.88 is: 2,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.16 : 4,287.82 = 1,709.88 : x
  2. Step 2: Convert to fraction form
    3,107.16/4,287.82 = 1,709.88/x
  3. Step 3: Cross multiply
    3,107.16x = 4,287.82 × 1,709.88
  4. Step 4: Simplify right side
    3,107.16x = 7,331,657.66
  5. Step 5: Solve for x
    x = 7,331,657.66/3,107.16
  6. Step 6: Final answer
    x = 2,359.60

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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.