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Finding the Fourth Proportional to 3,396.94, 4,686.33 and 2,347.18

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Solution

The fourth proportional to 3,396.94, 4,686.33 and 2,347.18 is: 3,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.94 : 4,686.33 = 2,347.18 : x
  2. Step 2: Convert to fraction form
    3,396.94/4,686.33 = 2,347.18/x
  3. Step 3: Cross multiply
    3,396.94x = 4,686.33 × 2,347.18
  4. Step 4: Simplify right side
    3,396.94x = 10,999,660.05
  5. Step 5: Solve for x
    x = 10,999,660.05/3,396.94
  6. Step 6: Final answer
    x = 3,238.11

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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.