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Finding the Fourth Proportional to 5,934.57, 8,902.44 and 2,039.28

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Solution

The fourth proportional to 5,934.57, 8,902.44 and 2,039.28 is: 3,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.57 : 8,902.44 = 2,039.28 : x
  2. Step 2: Convert to fraction form
    5,934.57/8,902.44 = 2,039.28/x
  3. Step 3: Cross multiply
    5,934.57x = 8,902.44 × 2,039.28
  4. Step 4: Simplify right side
    5,934.57x = 18,154,567.84
  5. Step 5: Solve for x
    x = 18,154,567.84/5,934.57
  6. Step 6: Final answer
    x = 3,059.12

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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.