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Finding the Fourth Proportional to 3,746.40, 5,621.24 and 2,013

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Solution

The fourth proportional to 3,746.40, 5,621.24 and 2,013 is: 3,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.40 : 5,621.24 = 2,013 : x
  2. Step 2: Convert to fraction form
    3,746.40/5,621.24 = 2,013/x
  3. Step 3: Cross multiply
    3,746.40x = 5,621.24 × 2,013
  4. Step 4: Simplify right side
    3,746.40x = 11,315,556.12
  5. Step 5: Solve for x
    x = 11,315,556.12/3,746.40
  6. Step 6: Final answer
    x = 3,020.38

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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.