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Finding the Fourth Proportional to 5,794.60, 8,000.58 and 3,670.60

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Solution

The fourth proportional to 5,794.60, 8,000.58 and 3,670.60 is: 5,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.60 : 8,000.58 = 3,670.60 : x
  2. Step 2: Convert to fraction form
    5,794.60/8,000.58 = 3,670.60/x
  3. Step 3: Cross multiply
    5,794.60x = 8,000.58 × 3,670.60
  4. Step 4: Simplify right side
    5,794.60x = 29,366,928.95
  5. Step 5: Solve for x
    x = 29,366,928.95/5,794.60
  6. Step 6: Final answer
    x = 5,067.98

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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.