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Finding the Fourth Proportional to 5,764.13, 8,647.05 and 2,065.49

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Solution

The fourth proportional to 5,764.13, 8,647.05 and 2,065.49 is: 3,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.13 : 8,647.05 = 2,065.49 : x
  2. Step 2: Convert to fraction form
    5,764.13/8,647.05 = 2,065.49/x
  3. Step 3: Cross multiply
    5,764.13x = 8,647.05 × 2,065.49
  4. Step 4: Simplify right side
    5,764.13x = 17,860,395.30
  5. Step 5: Solve for x
    x = 17,860,395.30/5,764.13
  6. Step 6: Final answer
    x = 3,098.54

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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.