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Finding the Fourth Proportional to 5,667.80, 8,501.70 and 4,209.80

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Solution

The fourth proportional to 5,667.80, 8,501.70 and 4,209.80 is: 6,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.80 : 8,501.70 = 4,209.80 : x
  2. Step 2: Convert to fraction form
    5,667.80/8,501.70 = 4,209.80/x
  3. Step 3: Cross multiply
    5,667.80x = 8,501.70 × 4,209.80
  4. Step 4: Simplify right side
    5,667.80x = 35,790,456.66
  5. Step 5: Solve for x
    x = 35,790,456.66/5,667.80
  6. Step 6: Final answer
    x = 6,314.70

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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.