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Finding the Fourth Proportional to 4,393.28, 6,590 and 1,794.60

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Solution

The fourth proportional to 4,393.28, 6,590 and 1,794.60 is: 2,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.28 : 6,590 = 1,794.60 : x
  2. Step 2: Convert to fraction form
    4,393.28/6,590 = 1,794.60/x
  3. Step 3: Cross multiply
    4,393.28x = 6,590 × 1,794.60
  4. Step 4: Simplify right side
    4,393.28x = 11,826,414
  5. Step 5: Solve for x
    x = 11,826,414/4,393.28
  6. Step 6: Final answer
    x = 2,691.93

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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.