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Finding the Fourth Proportional to 5,204.07, 7,809.95 and 3,821.00

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Solution

The fourth proportional to 5,204.07, 7,809.95 and 3,821.00 is: 5,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.07 : 7,809.95 = 3,821.00 : x
  2. Step 2: Convert to fraction form
    5,204.07/7,809.95 = 3,821.00/x
  3. Step 3: Cross multiply
    5,204.07x = 7,809.95 × 3,821.00
  4. Step 4: Simplify right side
    5,204.07x = 29,841,789.45
  5. Step 5: Solve for x
    x = 29,841,789.45/5,204.07
  6. Step 6: Final answer
    x = 5,734.32

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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.