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Finding the Fourth Proportional to 3,522.47, 4,859.46 and 2,105.44

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Solution

The fourth proportional to 3,522.47, 4,859.46 and 2,105.44 is: 2,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.47 : 4,859.46 = 2,105.44 : x
  2. Step 2: Convert to fraction form
    3,522.47/4,859.46 = 2,105.44/x
  3. Step 3: Cross multiply
    3,522.47x = 4,859.46 × 2,105.44
  4. Step 4: Simplify right side
    3,522.47x = 10,231,307.77
  5. Step 5: Solve for x
    x = 10,231,307.77/3,522.47
  6. Step 6: Final answer
    x = 2,904.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.