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Finding the Fourth Proportional to 3,057.92, 4,565.32 and 2,872.48

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Solution

The fourth proportional to 3,057.92, 4,565.32 and 2,872.48 is: 4,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.92 : 4,565.32 = 2,872.48 : x
  2. Step 2: Convert to fraction form
    3,057.92/4,565.32 = 2,872.48/x
  3. Step 3: Cross multiply
    3,057.92x = 4,565.32 × 2,872.48
  4. Step 4: Simplify right side
    3,057.92x = 13,113,790.39
  5. Step 5: Solve for x
    x = 13,113,790.39/3,057.92
  6. Step 6: Final answer
    x = 4,288.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.