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Finding the Fourth Proportional to 5,234.24, 7,853.60 and 3,044

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Solution

The fourth proportional to 5,234.24, 7,853.60 and 3,044 is: 4,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.24 : 7,853.60 = 3,044 : x
  2. Step 2: Convert to fraction form
    5,234.24/7,853.60 = 3,044/x
  3. Step 3: Cross multiply
    5,234.24x = 7,853.60 × 3,044
  4. Step 4: Simplify right side
    5,234.24x = 23,906,358.40
  5. Step 5: Solve for x
    x = 23,906,358.40/5,234.24
  6. Step 6: Final answer
    x = 4,567.30

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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.