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Finding the Fourth Proportional to 6,594.16, 9,891.57 and 3,670.30

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Solution

The fourth proportional to 6,594.16, 9,891.57 and 3,670.30 is: 5,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.16 : 9,891.57 = 3,670.30 : x
  2. Step 2: Convert to fraction form
    6,594.16/9,891.57 = 3,670.30/x
  3. Step 3: Cross multiply
    6,594.16x = 9,891.57 × 3,670.30
  4. Step 4: Simplify right side
    6,594.16x = 36,305,029.37
  5. Step 5: Solve for x
    x = 36,305,029.37/6,594.16
  6. Step 6: Final answer
    x = 5,505.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.