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Finding the Fourth Proportional to 4,657.46, 6,420.72 and 3,165.44

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Solution

The fourth proportional to 4,657.46, 6,420.72 and 3,165.44 is: 4,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.46 : 6,420.72 = 3,165.44 : x
  2. Step 2: Convert to fraction form
    4,657.46/6,420.72 = 3,165.44/x
  3. Step 3: Cross multiply
    4,657.46x = 6,420.72 × 3,165.44
  4. Step 4: Simplify right side
    4,657.46x = 20,324,403.92
  5. Step 5: Solve for x
    x = 20,324,403.92/4,657.46
  6. Step 6: Final answer
    x = 4,363.84

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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.