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Finding the Fourth Proportional to 3,779.53, 5,667.59 and 2,024.26

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Solution

The fourth proportional to 3,779.53, 5,667.59 and 2,024.26 is: 3,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.53 : 5,667.59 = 2,024.26 : x
  2. Step 2: Convert to fraction form
    3,779.53/5,667.59 = 2,024.26/x
  3. Step 3: Cross multiply
    3,779.53x = 5,667.59 × 2,024.26
  4. Step 4: Simplify right side
    3,779.53x = 11,472,666.63
  5. Step 5: Solve for x
    x = 11,472,666.63/3,779.53
  6. Step 6: Final answer
    x = 3,035.48

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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.