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Finding the Fourth Proportional to 3,588.82, 5,380.59 and 1,122.26

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Solution

The fourth proportional to 3,588.82, 5,380.59 and 1,122.26 is: 1,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.82 : 5,380.59 = 1,122.26 : x
  2. Step 2: Convert to fraction form
    3,588.82/5,380.59 = 1,122.26/x
  3. Step 3: Cross multiply
    3,588.82x = 5,380.59 × 1,122.26
  4. Step 4: Simplify right side
    3,588.82x = 6,038,420.93
  5. Step 5: Solve for x
    x = 6,038,420.93/3,588.82
  6. Step 6: Final answer
    x = 1,682.56

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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.