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Finding the Fourth Proportional to 3,779.19, 5,669.21 and 1,005.97

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Solution

The fourth proportional to 3,779.19, 5,669.21 and 1,005.97 is: 1,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.19 : 5,669.21 = 1,005.97 : x
  2. Step 2: Convert to fraction form
    3,779.19/5,669.21 = 1,005.97/x
  3. Step 3: Cross multiply
    3,779.19x = 5,669.21 × 1,005.97
  4. Step 4: Simplify right side
    3,779.19x = 5,703,035.98
  5. Step 5: Solve for x
    x = 5,703,035.98/3,779.19
  6. Step 6: Final answer
    x = 1,509.06

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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.