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Finding the Fourth Proportional to 3,283.38, 4,903.43 and 2,920.50

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Solution

The fourth proportional to 3,283.38, 4,903.43 and 2,920.50 is: 4,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.38 : 4,903.43 = 2,920.50 : x
  2. Step 2: Convert to fraction form
    3,283.38/4,903.43 = 2,920.50/x
  3. Step 3: Cross multiply
    3,283.38x = 4,903.43 × 2,920.50
  4. Step 4: Simplify right side
    3,283.38x = 14,320,452.71
  5. Step 5: Solve for x
    x = 14,320,452.71/3,283.38
  6. Step 6: Final answer
    x = 4,361.50

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Why These Related Problems?

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