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Finding the Fourth Proportional to 3,522.98, 4,858.35 and 2,106.43

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Solution

The fourth proportional to 3,522.98, 4,858.35 and 2,106.43 is: 2,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.98 : 4,858.35 = 2,106.43 : x
  2. Step 2: Convert to fraction form
    3,522.98/4,858.35 = 2,106.43/x
  3. Step 3: Cross multiply
    3,522.98x = 4,858.35 × 2,106.43
  4. Step 4: Simplify right side
    3,522.98x = 10,233,791.84
  5. Step 5: Solve for x
    x = 10,233,791.84/3,522.98
  6. Step 6: Final answer
    x = 2,904.87

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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.