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Finding the Fourth Proportional to 4,669.74, 6,442.20 and 3,342.96

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Solution

The fourth proportional to 4,669.74, 6,442.20 and 3,342.96 is: 4,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.74 : 6,442.20 = 3,342.96 : x
  2. Step 2: Convert to fraction form
    4,669.74/6,442.20 = 3,342.96/x
  3. Step 3: Cross multiply
    4,669.74x = 6,442.20 × 3,342.96
  4. Step 4: Simplify right side
    4,669.74x = 21,536,016.91
  5. Step 5: Solve for x
    x = 21,536,016.91/4,669.74
  6. Step 6: Final answer
    x = 4,611.82

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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.