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Finding the Fourth Proportional to 3,667.38, 5,501.05 and 894.07

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Solution

The fourth proportional to 3,667.38, 5,501.05 and 894.07 is: 1,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.38 : 5,501.05 = 894.07 : x
  2. Step 2: Convert to fraction form
    3,667.38/5,501.05 = 894.07/x
  3. Step 3: Cross multiply
    3,667.38x = 5,501.05 × 894.07
  4. Step 4: Simplify right side
    3,667.38x = 4,918,328.41
  5. Step 5: Solve for x
    x = 4,918,328.41/3,667.38
  6. Step 6: Final answer
    x = 1,341.10

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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.