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Finding the Fourth Proportional to 3,575.14, 5,362.81 and 3,415.21

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Solution

The fourth proportional to 3,575.14, 5,362.81 and 3,415.21 is: 5,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.14 : 5,362.81 = 3,415.21 : x
  2. Step 2: Convert to fraction form
    3,575.14/5,362.81 = 3,415.21/x
  3. Step 3: Cross multiply
    3,575.14x = 5,362.81 × 3,415.21
  4. Step 4: Simplify right side
    3,575.14x = 18,315,130.56
  5. Step 5: Solve for x
    x = 18,315,130.56/3,575.14
  6. Step 6: Final answer
    x = 5,122.92

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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.