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Finding the Fourth Proportional to 5,883.24, 8,809.02 and 3,104.16

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Solution

The fourth proportional to 5,883.24, 8,809.02 and 3,104.16 is: 4,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.24 : 8,809.02 = 3,104.16 : x
  2. Step 2: Convert to fraction form
    5,883.24/8,809.02 = 3,104.16/x
  3. Step 3: Cross multiply
    5,883.24x = 8,809.02 × 3,104.16
  4. Step 4: Simplify right side
    5,883.24x = 27,344,607.52
  5. Step 5: Solve for x
    x = 27,344,607.52/5,883.24
  6. Step 6: Final answer
    x = 4,647.88

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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.