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Finding the Fourth Proportional to 5,393.60, 8,094.72 and 2,797.28

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Solution

The fourth proportional to 5,393.60, 8,094.72 and 2,797.28 is: 4,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.60 : 8,094.72 = 2,797.28 : x
  2. Step 2: Convert to fraction form
    5,393.60/8,094.72 = 2,797.28/x
  3. Step 3: Cross multiply
    5,393.60x = 8,094.72 × 2,797.28
  4. Step 4: Simplify right side
    5,393.60x = 22,643,198.36
  5. Step 5: Solve for x
    x = 22,643,198.36/5,393.60
  6. Step 6: Final answer
    x = 4,198.16

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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.