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Finding the Fourth Proportional to 3,874.66, 5,347.08 and 2,106.30

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Solution

The fourth proportional to 3,874.66, 5,347.08 and 2,106.30 is: 2,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.66 : 5,347.08 = 2,106.30 : x
  2. Step 2: Convert to fraction form
    3,874.66/5,347.08 = 2,106.30/x
  3. Step 3: Cross multiply
    3,874.66x = 5,347.08 × 2,106.30
  4. Step 4: Simplify right side
    3,874.66x = 11,262,554.60
  5. Step 5: Solve for x
    x = 11,262,554.60/3,874.66
  6. Step 6: Final answer
    x = 2,906.72

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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.