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Finding the Fourth Proportional to 5,305.24, 7,956.24 and 1,409.14

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Solution

The fourth proportional to 5,305.24, 7,956.24 and 1,409.14 is: 2,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.24 : 7,956.24 = 1,409.14 : x
  2. Step 2: Convert to fraction form
    5,305.24/7,956.24 = 1,409.14/x
  3. Step 3: Cross multiply
    5,305.24x = 7,956.24 × 1,409.14
  4. Step 4: Simplify right side
    5,305.24x = 11,211,456.03
  5. Step 5: Solve for x
    x = 11,211,456.03/5,305.24
  6. Step 6: Final answer
    x = 2,113.28

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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.