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Finding the Fourth Proportional to 5,395.88, 8,094.54 and 1,932.68

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Solution

The fourth proportional to 5,395.88, 8,094.54 and 1,932.68 is: 2,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.88 : 8,094.54 = 1,932.68 : x
  2. Step 2: Convert to fraction form
    5,395.88/8,094.54 = 1,932.68/x
  3. Step 3: Cross multiply
    5,395.88x = 8,094.54 × 1,932.68
  4. Step 4: Simplify right side
    5,395.88x = 15,644,155.57
  5. Step 5: Solve for x
    x = 15,644,155.57/5,395.88
  6. Step 6: Final answer
    x = 2,899.28

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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.