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Finding the Fourth Proportional to 3,993.54, 5,510.40 and 2,315.16

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Solution

The fourth proportional to 3,993.54, 5,510.40 and 2,315.16 is: 3,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.54 : 5,510.40 = 2,315.16 : x
  2. Step 2: Convert to fraction form
    3,993.54/5,510.40 = 2,315.16/x
  3. Step 3: Cross multiply
    3,993.54x = 5,510.40 × 2,315.16
  4. Step 4: Simplify right side
    3,993.54x = 12,757,457.66
  5. Step 5: Solve for x
    x = 12,757,457.66/3,993.54
  6. Step 6: Final answer
    x = 3,194.52

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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.