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Finding the Fourth Proportional to 4,442.81, 6,662.27 and 2,362.32

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Solution

The fourth proportional to 4,442.81, 6,662.27 and 2,362.32 is: 3,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.81 : 6,662.27 = 2,362.32 : x
  2. Step 2: Convert to fraction form
    4,442.81/6,662.27 = 2,362.32/x
  3. Step 3: Cross multiply
    4,442.81x = 6,662.27 × 2,362.32
  4. Step 4: Simplify right side
    4,442.81x = 15,738,419.57
  5. Step 5: Solve for x
    x = 15,738,419.57/4,442.81
  6. Step 6: Final answer
    x = 3,542.45

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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.