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Finding the Fourth Proportional to 3,993.13, 5,510.82 and 2,646.46

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Solution

The fourth proportional to 3,993.13, 5,510.82 and 2,646.46 is: 3,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.13 : 5,510.82 = 2,646.46 : x
  2. Step 2: Convert to fraction form
    3,993.13/5,510.82 = 2,646.46/x
  3. Step 3: Cross multiply
    3,993.13x = 5,510.82 × 2,646.46
  4. Step 4: Simplify right side
    3,993.13x = 14,584,164.70
  5. Step 5: Solve for x
    x = 14,584,164.70/3,993.13
  6. Step 6: Final answer
    x = 3,652.31

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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.