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Finding the Fourth Proportional to 4,602.94, 6,352.22 and 3,186.92

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Solution

The fourth proportional to 4,602.94, 6,352.22 and 3,186.92 is: 4,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.94 : 6,352.22 = 3,186.92 : x
  2. Step 2: Convert to fraction form
    4,602.94/6,352.22 = 3,186.92/x
  3. Step 3: Cross multiply
    4,602.94x = 6,352.22 × 3,186.92
  4. Step 4: Simplify right side
    4,602.94x = 20,244,016.96
  5. Step 5: Solve for x
    x = 20,244,016.96/4,602.94
  6. Step 6: Final answer
    x = 4,398.06

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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.