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Finding the Fourth Proportional to 3,753.74, 5,180.22 and 2,075.29

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Solution

The fourth proportional to 3,753.74, 5,180.22 and 2,075.29 is: 2,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.74 : 5,180.22 = 2,075.29 : x
  2. Step 2: Convert to fraction form
    3,753.74/5,180.22 = 2,075.29/x
  3. Step 3: Cross multiply
    3,753.74x = 5,180.22 × 2,075.29
  4. Step 4: Simplify right side
    3,753.74x = 10,750,445.81
  5. Step 5: Solve for x
    x = 10,750,445.81/3,753.74
  6. Step 6: Final answer
    x = 2,863.93

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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.