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Finding the Fourth Proportional to 3,685.24, 5,085.42 and 2,029.24

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Solution

The fourth proportional to 3,685.24, 5,085.42 and 2,029.24 is: 2,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.24 : 5,085.42 = 2,029.24 : x
  2. Step 2: Convert to fraction form
    3,685.24/5,085.42 = 2,029.24/x
  3. Step 3: Cross multiply
    3,685.24x = 5,085.42 × 2,029.24
  4. Step 4: Simplify right side
    3,685.24x = 10,319,537.68
  5. Step 5: Solve for x
    x = 10,319,537.68/3,685.24
  6. Step 6: Final answer
    x = 2,800.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.