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Finding the Fourth Proportional to 4,188.69, 5,780.24 and 2,300.21

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Solution

The fourth proportional to 4,188.69, 5,780.24 and 2,300.21 is: 3,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.69 : 5,780.24 = 2,300.21 : x
  2. Step 2: Convert to fraction form
    4,188.69/5,780.24 = 2,300.21/x
  3. Step 3: Cross multiply
    4,188.69x = 5,780.24 × 2,300.21
  4. Step 4: Simplify right side
    4,188.69x = 13,295,755.75
  5. Step 5: Solve for x
    x = 13,295,755.75/4,188.69
  6. Step 6: Final answer
    x = 3,174.20

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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.