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Finding the Fourth Proportional to 3,605.12, 5,408.41 and 1,525.12

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Solution

The fourth proportional to 3,605.12, 5,408.41 and 1,525.12 is: 2,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.12 : 5,408.41 = 1,525.12 : x
  2. Step 2: Convert to fraction form
    3,605.12/5,408.41 = 1,525.12/x
  3. Step 3: Cross multiply
    3,605.12x = 5,408.41 × 1,525.12
  4. Step 4: Simplify right side
    3,605.12x = 8,248,456.93
  5. Step 5: Solve for x
    x = 8,248,456.93/3,605.12
  6. Step 6: Final answer
    x = 2,287.98

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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.