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Finding the Fourth Proportional to 4,442.72, 6,665.46 and 1,669.64

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Solution

The fourth proportional to 4,442.72, 6,665.46 and 1,669.64 is: 2,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.72 : 6,665.46 = 1,669.64 : x
  2. Step 2: Convert to fraction form
    4,442.72/6,665.46 = 1,669.64/x
  3. Step 3: Cross multiply
    4,442.72x = 6,665.46 × 1,669.64
  4. Step 4: Simplify right side
    4,442.72x = 11,128,918.63
  5. Step 5: Solve for x
    x = 11,128,918.63/4,442.72
  6. Step 6: Final answer
    x = 2,504.98

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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.