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Finding the Fourth Proportional to 3,901.00, 5,846.32 and 1,707.34

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Solution

The fourth proportional to 3,901.00, 5,846.32 and 1,707.34 is: 2,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.00 : 5,846.32 = 1,707.34 : x
  2. Step 2: Convert to fraction form
    3,901.00/5,846.32 = 1,707.34/x
  3. Step 3: Cross multiply
    3,901.00x = 5,846.32 × 1,707.34
  4. Step 4: Simplify right side
    3,901.00x = 9,981,618.22
  5. Step 5: Solve for x
    x = 9,981,618.22/3,901.00
  6. Step 6: Final answer
    x = 2,558.74

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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.