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Finding the Fourth Proportional to 3,778.65, 5,667.98 and 3,137.13

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Solution

The fourth proportional to 3,778.65, 5,667.98 and 3,137.13 is: 4,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.65 : 5,667.98 = 3,137.13 : x
  2. Step 2: Convert to fraction form
    3,778.65/5,667.98 = 3,137.13/x
  3. Step 3: Cross multiply
    3,778.65x = 5,667.98 × 3,137.13
  4. Step 4: Simplify right side
    3,778.65x = 17,781,174.41
  5. Step 5: Solve for x
    x = 17,781,174.41/3,778.65
  6. Step 6: Final answer
    x = 4,705.70

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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.