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Finding the Fourth Proportional to 3,779.44, 5,667.24 and 1,726

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Solution

The fourth proportional to 3,779.44, 5,667.24 and 1,726 is: 2,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.44 : 5,667.24 = 1,726 : x
  2. Step 2: Convert to fraction form
    3,779.44/5,667.24 = 1,726/x
  3. Step 3: Cross multiply
    3,779.44x = 5,667.24 × 1,726
  4. Step 4: Simplify right side
    3,779.44x = 9,781,656.24
  5. Step 5: Solve for x
    x = 9,781,656.24/3,779.44
  6. Step 6: Final answer
    x = 2,588.12

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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.