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Finding the Fourth Proportional to 3,688.92, 5,533.32 and 1,091.64

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Solution

The fourth proportional to 3,688.92, 5,533.32 and 1,091.64 is: 1,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.92 : 5,533.32 = 1,091.64 : x
  2. Step 2: Convert to fraction form
    3,688.92/5,533.32 = 1,091.64/x
  3. Step 3: Cross multiply
    3,688.92x = 5,533.32 × 1,091.64
  4. Step 4: Simplify right side
    3,688.92x = 6,040,393.44
  5. Step 5: Solve for x
    x = 6,040,393.44/3,688.92
  6. Step 6: Final answer
    x = 1,637.44

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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.