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Finding the Fourth Proportional to 4,685.22, 6,456.70 and 3,356.62

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Solution

The fourth proportional to 4,685.22, 6,456.70 and 3,356.62 is: 4,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.22 : 6,456.70 = 3,356.62 : x
  2. Step 2: Convert to fraction form
    4,685.22/6,456.70 = 3,356.62/x
  3. Step 3: Cross multiply
    4,685.22x = 6,456.70 × 3,356.62
  4. Step 4: Simplify right side
    4,685.22x = 21,672,688.35
  5. Step 5: Solve for x
    x = 21,672,688.35/4,685.22
  6. Step 6: Final answer
    x = 4,625.76

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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.