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Finding the Fourth Proportional to 3,657.96, 5,485.32 and 2,562.84

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Solution

The fourth proportional to 3,657.96, 5,485.32 and 2,562.84 is: 3,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.96 : 5,485.32 = 2,562.84 : x
  2. Step 2: Convert to fraction form
    3,657.96/5,485.32 = 2,562.84/x
  3. Step 3: Cross multiply
    3,657.96x = 5,485.32 × 2,562.84
  4. Step 4: Simplify right side
    3,657.96x = 14,057,997.51
  5. Step 5: Solve for x
    x = 14,057,997.51/3,657.96
  6. Step 6: Final answer
    x = 3,843.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.