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Finding the Fourth Proportional to 3,874.92, 5,347.39 and 2,106.52

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Solution

The fourth proportional to 3,874.92, 5,347.39 and 2,106.52 is: 2,907.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.92 : 5,347.39 = 2,106.52 : x
  2. Step 2: Convert to fraction form
    3,874.92/5,347.39 = 2,106.52/x
  3. Step 3: Cross multiply
    3,874.92x = 5,347.39 × 2,106.52
  4. Step 4: Simplify right side
    3,874.92x = 11,264,383.98
  5. Step 5: Solve for x
    x = 11,264,383.98/3,874.92
  6. Step 6: Final answer
    x = 2,907.00

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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.