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Finding the Fourth Proportional to 4,442.66, 6,662.04 and 2,362.16

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Solution

The fourth proportional to 4,442.66, 6,662.04 and 2,362.16 is: 3,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.66 : 6,662.04 = 2,362.16 : x
  2. Step 2: Convert to fraction form
    4,442.66/6,662.04 = 2,362.16/x
  3. Step 3: Cross multiply
    4,442.66x = 6,662.04 × 2,362.16
  4. Step 4: Simplify right side
    4,442.66x = 15,736,804.41
  5. Step 5: Solve for x
    x = 15,736,804.41/4,442.66
  6. Step 6: Final answer
    x = 3,542.20

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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.