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Finding the Fourth Proportional to 3,763.57, 5,193.42 and 2,085.05

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Solution

The fourth proportional to 3,763.57, 5,193.42 and 2,085.05 is: 2,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.57 : 5,193.42 = 2,085.05 : x
  2. Step 2: Convert to fraction form
    3,763.57/5,193.42 = 2,085.05/x
  3. Step 3: Cross multiply
    3,763.57x = 5,193.42 × 2,085.05
  4. Step 4: Simplify right side
    3,763.57x = 10,828,548.52
  5. Step 5: Solve for x
    x = 10,828,548.52/3,763.57
  6. Step 6: Final answer
    x = 2,877.20

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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.