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Finding the Fourth Proportional to 5,228.66, 7,838.04 and 1,939.52

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Solution

The fourth proportional to 5,228.66, 7,838.04 and 1,939.52 is: 2,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.66 : 7,838.04 = 1,939.52 : x
  2. Step 2: Convert to fraction form
    5,228.66/7,838.04 = 1,939.52/x
  3. Step 3: Cross multiply
    5,228.66x = 7,838.04 × 1,939.52
  4. Step 4: Simplify right side
    5,228.66x = 15,202,035.34
  5. Step 5: Solve for x
    x = 15,202,035.34/5,228.66
  6. Step 6: Final answer
    x = 2,907.44

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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.