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Finding the Fourth Proportional to 3,806.25, 5,705.56 and 1,726.75

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Solution

The fourth proportional to 3,806.25, 5,705.56 and 1,726.75 is: 2,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.25 : 5,705.56 = 1,726.75 : x
  2. Step 2: Convert to fraction form
    3,806.25/5,705.56 = 1,726.75/x
  3. Step 3: Cross multiply
    3,806.25x = 5,705.56 × 1,726.75
  4. Step 4: Simplify right side
    3,806.25x = 9,852,075.73
  5. Step 5: Solve for x
    x = 9,852,075.73/3,806.25
  6. Step 6: Final answer
    x = 2,588.39

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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.