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Finding the Fourth Proportional to 3,779.57, 5,669.24 and 1,182.44

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Solution

The fourth proportional to 3,779.57, 5,669.24 and 1,182.44 is: 1,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.57 : 5,669.24 = 1,182.44 : x
  2. Step 2: Convert to fraction form
    3,779.57/5,669.24 = 1,182.44/x
  3. Step 3: Cross multiply
    3,779.57x = 5,669.24 × 1,182.44
  4. Step 4: Simplify right side
    3,779.57x = 6,703,501.89
  5. Step 5: Solve for x
    x = 6,703,501.89/3,779.57
  6. Step 6: Final answer
    x = 1,773.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.