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Finding the Fourth Proportional to 6,320.76, 8,722.26 and 3,669

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Solution

The fourth proportional to 6,320.76, 8,722.26 and 3,669 is: 5,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.76 : 8,722.26 = 3,669 : x
  2. Step 2: Convert to fraction form
    6,320.76/8,722.26 = 3,669/x
  3. Step 3: Cross multiply
    6,320.76x = 8,722.26 × 3,669
  4. Step 4: Simplify right side
    6,320.76x = 32,001,971.94
  5. Step 5: Solve for x
    x = 32,001,971.94/6,320.76
  6. Step 6: Final answer
    x = 5,062.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.