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Finding the Fourth Proportional to 3,539.33, 5,309.36 and 1,460.21

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Solution

The fourth proportional to 3,539.33, 5,309.36 and 1,460.21 is: 2,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.33 : 5,309.36 = 1,460.21 : x
  2. Step 2: Convert to fraction form
    3,539.33/5,309.36 = 1,460.21/x
  3. Step 3: Cross multiply
    3,539.33x = 5,309.36 × 1,460.21
  4. Step 4: Simplify right side
    3,539.33x = 7,752,773.26
  5. Step 5: Solve for x
    x = 7,752,773.26/3,539.33
  6. Step 6: Final answer
    x = 2,190.46

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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.