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Finding the Fourth Proportional to 3,667.78, 5,501.66 and 894.46

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Solution

The fourth proportional to 3,667.78, 5,501.66 and 894.46 is: 1,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.78 : 5,501.66 = 894.46 : x
  2. Step 2: Convert to fraction form
    3,667.78/5,501.66 = 894.46/x
  3. Step 3: Cross multiply
    3,667.78x = 5,501.66 × 894.46
  4. Step 4: Simplify right side
    3,667.78x = 4,921,014.80
  5. Step 5: Solve for x
    x = 4,921,014.80/3,667.78
  6. Step 6: Final answer
    x = 1,341.69

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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.