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Finding the Fourth Proportional to 3,300.71, 4,946.20 and 2,954.03

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Solution

The fourth proportional to 3,300.71, 4,946.20 and 2,954.03 is: 4,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.71 : 4,946.20 = 2,954.03 : x
  2. Step 2: Convert to fraction form
    3,300.71/4,946.20 = 2,954.03/x
  3. Step 3: Cross multiply
    3,300.71x = 4,946.20 × 2,954.03
  4. Step 4: Simplify right side
    3,300.71x = 14,611,191.07
  5. Step 5: Solve for x
    x = 14,611,191.07/3,300.71
  6. Step 6: Final answer
    x = 4,426.69

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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.