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Finding the Fourth Proportional to 3,521.88, 4,861.08 and 2,106

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Solution

The fourth proportional to 3,521.88, 4,861.08 and 2,106 is: 2,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.88 : 4,861.08 = 2,106 : x
  2. Step 2: Convert to fraction form
    3,521.88/4,861.08 = 2,106/x
  3. Step 3: Cross multiply
    3,521.88x = 4,861.08 × 2,106
  4. Step 4: Simplify right side
    3,521.88x = 10,237,434.48
  5. Step 5: Solve for x
    x = 10,237,434.48/3,521.88
  6. Step 6: Final answer
    x = 2,906.81

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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.