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Finding the Fourth Proportional to 4,643.87, 6,968.69 and 2,892.31

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Solution

The fourth proportional to 4,643.87, 6,968.69 and 2,892.31 is: 4,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.87 : 6,968.69 = 2,892.31 : x
  2. Step 2: Convert to fraction form
    4,643.87/6,968.69 = 2,892.31/x
  3. Step 3: Cross multiply
    4,643.87x = 6,968.69 × 2,892.31
  4. Step 4: Simplify right side
    4,643.87x = 20,155,611.77
  5. Step 5: Solve for x
    x = 20,155,611.77/4,643.87
  6. Step 6: Final answer
    x = 4,340.27

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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.