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Finding the Fourth Proportional to 5,228.77, 7,841.07 and 2,305

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Solution

The fourth proportional to 5,228.77, 7,841.07 and 2,305 is: 3,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.77 : 7,841.07 = 2,305 : x
  2. Step 2: Convert to fraction form
    5,228.77/7,841.07 = 2,305/x
  3. Step 3: Cross multiply
    5,228.77x = 7,841.07 × 2,305
  4. Step 4: Simplify right side
    5,228.77x = 18,073,666.35
  5. Step 5: Solve for x
    x = 18,073,666.35/5,228.77
  6. Step 6: Final answer
    x = 3,456.58

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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.