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Finding the Fourth Proportional to 3,667.53, 5,501.24 and 894.20

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Solution

The fourth proportional to 3,667.53, 5,501.24 and 894.20 is: 1,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.53 : 5,501.24 = 894.20 : x
  2. Step 2: Convert to fraction form
    3,667.53/5,501.24 = 894.20/x
  3. Step 3: Cross multiply
    3,667.53x = 5,501.24 × 894.20
  4. Step 4: Simplify right side
    3,667.53x = 4,919,176.83
  5. Step 5: Solve for x
    x = 4,919,176.83/3,667.53
  6. Step 6: Final answer
    x = 1,341.28

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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.