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Finding the Fourth Proportional to 3,047.92, 4,567.77 and 2,222.32

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Solution

The fourth proportional to 3,047.92, 4,567.77 and 2,222.32 is: 3,330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.92 : 4,567.77 = 2,222.32 : x
  2. Step 2: Convert to fraction form
    3,047.92/4,567.77 = 2,222.32/x
  3. Step 3: Cross multiply
    3,047.92x = 4,567.77 × 2,222.32
  4. Step 4: Simplify right side
    3,047.92x = 10,151,046.63
  5. Step 5: Solve for x
    x = 10,151,046.63/3,047.92
  6. Step 6: Final answer
    x = 3,330.48

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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.