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Finding the Fourth Proportional to 4,195.68, 5,787.48 and 3,018.34

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Solution

The fourth proportional to 4,195.68, 5,787.48 and 3,018.34 is: 4,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.68 : 5,787.48 = 3,018.34 : x
  2. Step 2: Convert to fraction form
    4,195.68/5,787.48 = 3,018.34/x
  3. Step 3: Cross multiply
    4,195.68x = 5,787.48 × 3,018.34
  4. Step 4: Simplify right side
    4,195.68x = 17,468,582.38
  5. Step 5: Solve for x
    x = 17,468,582.38/4,195.68
  6. Step 6: Final answer
    x = 4,163.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.