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Finding the Fourth Proportional to 3,657.05, 5,485.56 and 1,464.21

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Solution

The fourth proportional to 3,657.05, 5,485.56 and 1,464.21 is: 2,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.05 : 5,485.56 = 1,464.21 : x
  2. Step 2: Convert to fraction form
    3,657.05/5,485.56 = 1,464.21/x
  3. Step 3: Cross multiply
    3,657.05x = 5,485.56 × 1,464.21
  4. Step 4: Simplify right side
    3,657.05x = 8,032,006.32
  5. Step 5: Solve for x
    x = 8,032,006.32/3,657.05
  6. Step 6: Final answer
    x = 2,196.31

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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.