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Finding the Fourth Proportional to 3,607.26, 5,407.25 and 1,525.97

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Solution

The fourth proportional to 3,607.26, 5,407.25 and 1,525.97 is: 2,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.26 : 5,407.25 = 1,525.97 : x
  2. Step 2: Convert to fraction form
    3,607.26/5,407.25 = 1,525.97/x
  3. Step 3: Cross multiply
    3,607.26x = 5,407.25 × 1,525.97
  4. Step 4: Simplify right side
    3,607.26x = 8,251,266.62
  5. Step 5: Solve for x
    x = 8,251,266.62/3,607.26
  6. Step 6: Final answer
    x = 2,287.41

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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.