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Finding the Fourth Proportional to 4,442.96, 6,665.24 and 2,222.95

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Solution

The fourth proportional to 4,442.96, 6,665.24 and 2,222.95 is: 3,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.96 : 6,665.24 = 2,222.95 : x
  2. Step 2: Convert to fraction form
    4,442.96/6,665.24 = 2,222.95/x
  3. Step 3: Cross multiply
    4,442.96x = 6,665.24 × 2,222.95
  4. Step 4: Simplify right side
    4,442.96x = 14,816,495.26
  5. Step 5: Solve for x
    x = 14,816,495.26/4,442.96
  6. Step 6: Final answer
    x = 3,334.83

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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.