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Finding the Fourth Proportional to 4,590.27, 6,883.29 and 1,469.70

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Solution

The fourth proportional to 4,590.27, 6,883.29 and 1,469.70 is: 2,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.27 : 6,883.29 = 1,469.70 : x
  2. Step 2: Convert to fraction form
    4,590.27/6,883.29 = 1,469.70/x
  3. Step 3: Cross multiply
    4,590.27x = 6,883.29 × 1,469.70
  4. Step 4: Simplify right side
    4,590.27x = 10,116,371.31
  5. Step 5: Solve for x
    x = 10,116,371.31/4,590.27
  6. Step 6: Final answer
    x = 2,203.87

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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.