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Finding the Fourth Proportional to 4,964.58, 6,849.70 and 3,197.22

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Solution

The fourth proportional to 4,964.58, 6,849.70 and 3,197.22 is: 4,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.58 : 6,849.70 = 3,197.22 : x
  2. Step 2: Convert to fraction form
    4,964.58/6,849.70 = 3,197.22/x
  3. Step 3: Cross multiply
    4,964.58x = 6,849.70 × 3,197.22
  4. Step 4: Simplify right side
    4,964.58x = 21,899,997.83
  5. Step 5: Solve for x
    x = 21,899,997.83/4,964.58
  6. Step 6: Final answer
    x = 4,411.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.