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Finding the Fourth Proportional to 3,071.87, 4,239.20 and 1,709.17

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Solution

The fourth proportional to 3,071.87, 4,239.20 and 1,709.17 is: 2,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.87 : 4,239.20 = 1,709.17 : x
  2. Step 2: Convert to fraction form
    3,071.87/4,239.20 = 1,709.17/x
  3. Step 3: Cross multiply
    3,071.87x = 4,239.20 × 1,709.17
  4. Step 4: Simplify right side
    3,071.87x = 7,245,507.14
  5. Step 5: Solve for x
    x = 7,245,507.14/3,071.87
  6. Step 6: Final answer
    x = 2,358.66

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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.