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Finding the Fourth Proportional to 3,902.94, 5,852.31 and 1,709.12

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Solution

The fourth proportional to 3,902.94, 5,852.31 and 1,709.12 is: 2,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.94 : 5,852.31 = 1,709.12 : x
  2. Step 2: Convert to fraction form
    3,902.94/5,852.31 = 1,709.12/x
  3. Step 3: Cross multiply
    3,902.94x = 5,852.31 × 1,709.12
  4. Step 4: Simplify right side
    3,902.94x = 10,002,300.07
  5. Step 5: Solve for x
    x = 10,002,300.07/3,902.94
  6. Step 6: Final answer
    x = 2,562.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.