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Finding the Fourth Proportional to 3,510.68, 5,268.74 and 1,321.40

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Solution

The fourth proportional to 3,510.68, 5,268.74 and 1,321.40 is: 1,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.68 : 5,268.74 = 1,321.40 : x
  2. Step 2: Convert to fraction form
    3,510.68/5,268.74 = 1,321.40/x
  3. Step 3: Cross multiply
    3,510.68x = 5,268.74 × 1,321.40
  4. Step 4: Simplify right side
    3,510.68x = 6,962,113.04
  5. Step 5: Solve for x
    x = 6,962,113.04/3,510.68
  6. Step 6: Final answer
    x = 1,983.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.