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Finding the Fourth Proportional to 3,688.54, 5,533.41 and 1,091.74

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Solution

The fourth proportional to 3,688.54, 5,533.41 and 1,091.74 is: 1,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.54 : 5,533.41 = 1,091.74 : x
  2. Step 2: Convert to fraction form
    3,688.54/5,533.41 = 1,091.74/x
  3. Step 3: Cross multiply
    3,688.54x = 5,533.41 × 1,091.74
  4. Step 4: Simplify right side
    3,688.54x = 6,041,045.03
  5. Step 5: Solve for x
    x = 6,041,045.03/3,688.54
  6. Step 6: Final answer
    x = 1,637.79

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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.