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Finding the Fourth Proportional to 3,205.72, 4,809.24 and 1,125.64

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Solution

The fourth proportional to 3,205.72, 4,809.24 and 1,125.64 is: 1,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.72 : 4,809.24 = 1,125.64 : x
  2. Step 2: Convert to fraction form
    3,205.72/4,809.24 = 1,125.64/x
  3. Step 3: Cross multiply
    3,205.72x = 4,809.24 × 1,125.64
  4. Step 4: Simplify right side
    3,205.72x = 5,413,472.91
  5. Step 5: Solve for x
    x = 5,413,472.91/3,205.72
  6. Step 6: Final answer
    x = 1,688.69

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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.