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Finding the Fourth Proportional to 3,491.29, 4,812.37 and 3,205.16

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Solution

The fourth proportional to 3,491.29, 4,812.37 and 3,205.16 is: 4,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.29 : 4,812.37 = 3,205.16 : x
  2. Step 2: Convert to fraction form
    3,491.29/4,812.37 = 3,205.16/x
  3. Step 3: Cross multiply
    3,491.29x = 4,812.37 × 3,205.16
  4. Step 4: Simplify right side
    3,491.29x = 15,424,415.83
  5. Step 5: Solve for x
    x = 15,424,415.83/3,491.29
  6. Step 6: Final answer
    x = 4,417.97

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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.