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Finding the Fourth Proportional to 3,752.58, 5,620.41 and 1,806.24

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Solution

The fourth proportional to 3,752.58, 5,620.41 and 1,806.24 is: 2,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.58 : 5,620.41 = 1,806.24 : x
  2. Step 2: Convert to fraction form
    3,752.58/5,620.41 = 1,806.24/x
  3. Step 3: Cross multiply
    3,752.58x = 5,620.41 × 1,806.24
  4. Step 4: Simplify right side
    3,752.58x = 10,151,809.36
  5. Step 5: Solve for x
    x = 10,151,809.36/3,752.58
  6. Step 6: Final answer
    x = 2,705.29

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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.