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Finding the Fourth Proportional to 3,667.32, 5,500.96 and 894.01

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Solution

The fourth proportional to 3,667.32, 5,500.96 and 894.01 is: 1,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.32 : 5,500.96 = 894.01 : x
  2. Step 2: Convert to fraction form
    3,667.32/5,500.96 = 894.01/x
  3. Step 3: Cross multiply
    3,667.32x = 5,500.96 × 894.01
  4. Step 4: Simplify right side
    3,667.32x = 4,917,913.25
  5. Step 5: Solve for x
    x = 4,917,913.25/3,667.32
  6. Step 6: Final answer
    x = 1,341.01

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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.