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Finding the Fourth Proportional to 3,779.91, 5,645.14 and 3,218.64

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Solution

The fourth proportional to 3,779.91, 5,645.14 and 3,218.64 is: 4,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.91 : 5,645.14 = 3,218.64 : x
  2. Step 2: Convert to fraction form
    3,779.91/5,645.14 = 3,218.64/x
  3. Step 3: Cross multiply
    3,779.91x = 5,645.14 × 3,218.64
  4. Step 4: Simplify right side
    3,779.91x = 18,169,673.41
  5. Step 5: Solve for x
    x = 18,169,673.41/3,779.91
  6. Step 6: Final answer
    x = 4,806.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.