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Finding the Fourth Proportional to 4,442.39, 6,657.43 and 1,666.27

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Solution

The fourth proportional to 4,442.39, 6,657.43 and 1,666.27 is: 2,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.39 : 6,657.43 = 1,666.27 : x
  2. Step 2: Convert to fraction form
    4,442.39/6,657.43 = 1,666.27/x
  3. Step 3: Cross multiply
    4,442.39x = 6,657.43 × 1,666.27
  4. Step 4: Simplify right side
    4,442.39x = 11,093,042.60
  5. Step 5: Solve for x
    x = 11,093,042.60/4,442.39
  6. Step 6: Final answer
    x = 2,497.09

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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.