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Finding the Fourth Proportional to 3,312.09, 4,571.13 and 1,896.31

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Solution

The fourth proportional to 3,312.09, 4,571.13 and 1,896.31 is: 2,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.09 : 4,571.13 = 1,896.31 : x
  2. Step 2: Convert to fraction form
    3,312.09/4,571.13 = 1,896.31/x
  3. Step 3: Cross multiply
    3,312.09x = 4,571.13 × 1,896.31
  4. Step 4: Simplify right side
    3,312.09x = 8,668,292.36
  5. Step 5: Solve for x
    x = 8,668,292.36/3,312.09
  6. Step 6: Final answer
    x = 2,617.17

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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.