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Finding the Fourth Proportional to 4,668.86, 6,441.65 and 2,779.49

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Solution

The fourth proportional to 4,668.86, 6,441.65 and 2,779.49 is: 3,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.86 : 6,441.65 = 2,779.49 : x
  2. Step 2: Convert to fraction form
    4,668.86/6,441.65 = 2,779.49/x
  3. Step 3: Cross multiply
    4,668.86x = 6,441.65 × 2,779.49
  4. Step 4: Simplify right side
    4,668.86x = 17,904,487.86
  5. Step 5: Solve for x
    x = 17,904,487.86/4,668.86
  6. Step 6: Final answer
    x = 3,834.87

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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.