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Finding the Fourth Proportional to 3,688.44, 5,533.16 and 1,091.92

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Solution

The fourth proportional to 3,688.44, 5,533.16 and 1,091.92 is: 1,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.44 : 5,533.16 = 1,091.92 : x
  2. Step 2: Convert to fraction form
    3,688.44/5,533.16 = 1,091.92/x
  3. Step 3: Cross multiply
    3,688.44x = 5,533.16 × 1,091.92
  4. Step 4: Simplify right side
    3,688.44x = 6,041,768.07
  5. Step 5: Solve for x
    x = 6,041,768.07/3,688.44
  6. Step 6: Final answer
    x = 1,638.03

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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.