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Finding the Fourth Proportional to 3,667.90, 5,053.14 and 3,000.86

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Solution

The fourth proportional to 3,667.90, 5,053.14 and 3,000.86 is: 4,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.90 : 5,053.14 = 3,000.86 : x
  2. Step 2: Convert to fraction form
    3,667.90/5,053.14 = 3,000.86/x
  3. Step 3: Cross multiply
    3,667.90x = 5,053.14 × 3,000.86
  4. Step 4: Simplify right side
    3,667.90x = 15,163,765.70
  5. Step 5: Solve for x
    x = 15,163,765.70/3,667.90
  6. Step 6: Final answer
    x = 4,134.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.