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Finding the Fourth Proportional to 3,544.16, 5,313.84 and 2,572.16

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Solution

The fourth proportional to 3,544.16, 5,313.84 and 2,572.16 is: 3,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.16 : 5,313.84 = 2,572.16 : x
  2. Step 2: Convert to fraction form
    3,544.16/5,313.84 = 2,572.16/x
  3. Step 3: Cross multiply
    3,544.16x = 5,313.84 × 2,572.16
  4. Step 4: Simplify right side
    3,544.16x = 13,668,046.69
  5. Step 5: Solve for x
    x = 13,668,046.69/3,544.16
  6. Step 6: Final answer
    x = 3,856.50

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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.