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Finding the Fourth Proportional to 4,209.78, 6,317.49 and 1,473.78

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Solution

The fourth proportional to 4,209.78, 6,317.49 and 1,473.78 is: 2,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.78 : 6,317.49 = 1,473.78 : x
  2. Step 2: Convert to fraction form
    4,209.78/6,317.49 = 1,473.78/x
  3. Step 3: Cross multiply
    4,209.78x = 6,317.49 × 1,473.78
  4. Step 4: Simplify right side
    4,209.78x = 9,310,590.41
  5. Step 5: Solve for x
    x = 9,310,590.41/4,209.78
  6. Step 6: Final answer
    x = 2,211.66

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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.