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Finding the Fourth Proportional to 5,293.90, 7,939.22 and 3,660.94

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Solution

The fourth proportional to 5,293.90, 7,939.22 and 3,660.94 is: 5,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.90 : 7,939.22 = 3,660.94 : x
  2. Step 2: Convert to fraction form
    5,293.90/7,939.22 = 3,660.94/x
  3. Step 3: Cross multiply
    5,293.90x = 7,939.22 × 3,660.94
  4. Step 4: Simplify right side
    5,293.90x = 29,065,008.07
  5. Step 5: Solve for x
    x = 29,065,008.07/5,293.90
  6. Step 6: Final answer
    x = 5,490.28

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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.