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Finding the Fourth Proportional to 5,648.16, 8,472.24 and 2,568

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Solution

The fourth proportional to 5,648.16, 8,472.24 and 2,568 is: 3,852

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.16 : 8,472.24 = 2,568 : x
  2. Step 2: Convert to fraction form
    5,648.16/8,472.24 = 2,568/x
  3. Step 3: Cross multiply
    5,648.16x = 8,472.24 × 2,568
  4. Step 4: Simplify right side
    5,648.16x = 21,756,712.32
  5. Step 5: Solve for x
    x = 21,756,712.32/5,648.16
  6. Step 6: Final answer
    x = 3,852

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.