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Finding the Fourth Proportional to 3,789.72, 5,688 and 2,405.57

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Solution

The fourth proportional to 3,789.72, 5,688 and 2,405.57 is: 3,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.72 : 5,688 = 2,405.57 : x
  2. Step 2: Convert to fraction form
    3,789.72/5,688 = 2,405.57/x
  3. Step 3: Cross multiply
    3,789.72x = 5,688 × 2,405.57
  4. Step 4: Simplify right side
    3,789.72x = 13,682,853.72
  5. Step 5: Solve for x
    x = 13,682,853.72/3,789.72
  6. Step 6: Final answer
    x = 3,610.52

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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.