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Finding the Fourth Proportional to 3,772.08, 5,659.56 and 1,580.52

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Solution

The fourth proportional to 3,772.08, 5,659.56 and 1,580.52 is: 2,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.08 : 5,659.56 = 1,580.52 : x
  2. Step 2: Convert to fraction form
    3,772.08/5,659.56 = 1,580.52/x
  3. Step 3: Cross multiply
    3,772.08x = 5,659.56 × 1,580.52
  4. Step 4: Simplify right side
    3,772.08x = 8,945,047.77
  5. Step 5: Solve for x
    x = 8,945,047.77/3,772.08
  6. Step 6: Final answer
    x = 2,371.38

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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.