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Finding the Fourth Proportional to 3,515.65, 5,274.74 and 1,643.21

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Solution

The fourth proportional to 3,515.65, 5,274.74 and 1,643.21 is: 2,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.65 : 5,274.74 = 1,643.21 : x
  2. Step 2: Convert to fraction form
    3,515.65/5,274.74 = 1,643.21/x
  3. Step 3: Cross multiply
    3,515.65x = 5,274.74 × 1,643.21
  4. Step 4: Simplify right side
    3,515.65x = 8,667,470.93
  5. Step 5: Solve for x
    x = 8,667,470.93/3,515.65
  6. Step 6: Final answer
    x = 2,465.40

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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.