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Finding the Fourth Proportional to 3,675.38, 5,510.51 and 1,945.22

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Solution

The fourth proportional to 3,675.38, 5,510.51 and 1,945.22 is: 2,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.38 : 5,510.51 = 1,945.22 : x
  2. Step 2: Convert to fraction form
    3,675.38/5,510.51 = 1,945.22/x
  3. Step 3: Cross multiply
    3,675.38x = 5,510.51 × 1,945.22
  4. Step 4: Simplify right side
    3,675.38x = 10,719,154.26
  5. Step 5: Solve for x
    x = 10,719,154.26/3,675.38
  6. Step 6: Final answer
    x = 2,916.48

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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.