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Finding the Fourth Proportional to 4,189.46, 6,288.28 and 4,169.96

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Solution

The fourth proportional to 4,189.46, 6,288.28 and 4,169.96 is: 6,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.46 : 6,288.28 = 4,169.96 : x
  2. Step 2: Convert to fraction form
    4,189.46/6,288.28 = 4,169.96/x
  3. Step 3: Cross multiply
    4,189.46x = 6,288.28 × 4,169.96
  4. Step 4: Simplify right side
    4,189.46x = 26,221,916.61
  5. Step 5: Solve for x
    x = 26,221,916.61/4,189.46
  6. Step 6: Final answer
    x = 6,259.03

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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.