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Finding the Fourth Proportional to 3,307.42, 4,958.44 and 2,264.85

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Solution

The fourth proportional to 3,307.42, 4,958.44 and 2,264.85 is: 3,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.42 : 4,958.44 = 2,264.85 : x
  2. Step 2: Convert to fraction form
    3,307.42/4,958.44 = 2,264.85/x
  3. Step 3: Cross multiply
    3,307.42x = 4,958.44 × 2,264.85
  4. Step 4: Simplify right side
    3,307.42x = 11,230,122.83
  5. Step 5: Solve for x
    x = 11,230,122.83/3,307.42
  6. Step 6: Final answer
    x = 3,395.43

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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.