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Finding the Fourth Proportional to 3,667.34, 5,501.02 and 894.02

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Solution

The fourth proportional to 3,667.34, 5,501.02 and 894.02 is: 1,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.34 : 5,501.02 = 894.02 : x
  2. Step 2: Convert to fraction form
    3,667.34/5,501.02 = 894.02/x
  3. Step 3: Cross multiply
    3,667.34x = 5,501.02 × 894.02
  4. Step 4: Simplify right side
    3,667.34x = 4,918,021.90
  5. Step 5: Solve for x
    x = 4,918,021.90/3,667.34
  6. Step 6: Final answer
    x = 1,341.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.