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Finding the Fourth Proportional to 3,643.02, 5,439.80 and 2,894.20

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Solution

The fourth proportional to 3,643.02, 5,439.80 and 2,894.20 is: 4,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.02 : 5,439.80 = 2,894.20 : x
  2. Step 2: Convert to fraction form
    3,643.02/5,439.80 = 2,894.20/x
  3. Step 3: Cross multiply
    3,643.02x = 5,439.80 × 2,894.20
  4. Step 4: Simplify right side
    3,643.02x = 15,743,869.16
  5. Step 5: Solve for x
    x = 15,743,869.16/3,643.02
  6. Step 6: Final answer
    x = 4,321.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.