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Finding the Fourth Proportional to 3,775.83, 5,660.72 and 1,309.38

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Solution

The fourth proportional to 3,775.83, 5,660.72 and 1,309.38 is: 1,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.83 : 5,660.72 = 1,309.38 : x
  2. Step 2: Convert to fraction form
    3,775.83/5,660.72 = 1,309.38/x
  3. Step 3: Cross multiply
    3,775.83x = 5,660.72 × 1,309.38
  4. Step 4: Simplify right side
    3,775.83x = 7,412,005.25
  5. Step 5: Solve for x
    x = 7,412,005.25/3,775.83
  6. Step 6: Final answer
    x = 1,963.02

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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.