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Finding the Fourth Proportional to 4,189.98, 6,284.97 and 1,415.91

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Solution

The fourth proportional to 4,189.98, 6,284.97 and 1,415.91 is: 2,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.98 : 6,284.97 = 1,415.91 : x
  2. Step 2: Convert to fraction form
    4,189.98/6,284.97 = 1,415.91/x
  3. Step 3: Cross multiply
    4,189.98x = 6,284.97 × 1,415.91
  4. Step 4: Simplify right side
    4,189.98x = 8,898,951.87
  5. Step 5: Solve for x
    x = 8,898,951.87/4,189.98
  6. Step 6: Final answer
    x = 2,123.87

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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.