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Finding the Fourth Proportional to 4,643.87, 6,968.20 and 3,084.95

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Solution

The fourth proportional to 4,643.87, 6,968.20 and 3,084.95 is: 4,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.87 : 6,968.20 = 3,084.95 : x
  2. Step 2: Convert to fraction form
    4,643.87/6,968.20 = 3,084.95/x
  3. Step 3: Cross multiply
    4,643.87x = 6,968.20 × 3,084.95
  4. Step 4: Simplify right side
    4,643.87x = 21,496,558.30
  5. Step 5: Solve for x
    x = 21,496,558.30/4,643.87
  6. Step 6: Final answer
    x = 4,629.02

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Why These Related Problems?

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