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Finding the Fourth Proportional to 6,420, 8,859.66 and 3,625.56

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Solution

The fourth proportional to 6,420, 8,859.66 and 3,625.56 is: 5,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420 : 8,859.66 = 3,625.56 : x
  2. Step 2: Convert to fraction form
    6,420/8,859.66 = 3,625.56/x
  3. Step 3: Cross multiply
    6,420x = 8,859.66 × 3,625.56
  4. Step 4: Simplify right side
    6,420x = 32,121,228.91
  5. Step 5: Solve for x
    x = 32,121,228.91/6,420
  6. Step 6: Final answer
    x = 5,003.31

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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.