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Finding the Fourth Proportional to 3,779.24, 5,668.84 and 1,006.19

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Solution

The fourth proportional to 3,779.24, 5,668.84 and 1,006.19 is: 1,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.24 : 5,668.84 = 1,006.19 : x
  2. Step 2: Convert to fraction form
    3,779.24/5,668.84 = 1,006.19/x
  3. Step 3: Cross multiply
    3,779.24x = 5,668.84 × 1,006.19
  4. Step 4: Simplify right side
    3,779.24x = 5,703,930.12
  5. Step 5: Solve for x
    x = 5,703,930.12/3,779.24
  6. Step 6: Final answer
    x = 1,509.28

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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.