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Finding the Fourth Proportional to 3,778.89, 5,667.17 and 1,146.29

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Solution

The fourth proportional to 3,778.89, 5,667.17 and 1,146.29 is: 1,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.89 : 5,667.17 = 1,146.29 : x
  2. Step 2: Convert to fraction form
    3,778.89/5,667.17 = 1,146.29/x
  3. Step 3: Cross multiply
    3,778.89x = 5,667.17 × 1,146.29
  4. Step 4: Simplify right side
    3,778.89x = 6,496,228.74
  5. Step 5: Solve for x
    x = 6,496,228.74/3,778.89
  6. Step 6: Final answer
    x = 1,719.08

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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.