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Finding the Fourth Proportional to 4,442.36, 6,662.40 and 1,321.64

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Solution

The fourth proportional to 4,442.36, 6,662.40 and 1,321.64 is: 1,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.36 : 6,662.40 = 1,321.64 : x
  2. Step 2: Convert to fraction form
    4,442.36/6,662.40 = 1,321.64/x
  3. Step 3: Cross multiply
    4,442.36x = 6,662.40 × 1,321.64
  4. Step 4: Simplify right side
    4,442.36x = 8,805,294.34
  5. Step 5: Solve for x
    x = 8,805,294.34/4,442.36
  6. Step 6: Final answer
    x = 1,982.12

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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.