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Finding the Fourth Proportional to 3,875.94, 5,348.84 and 2,107.54

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Solution

The fourth proportional to 3,875.94, 5,348.84 and 2,107.54 is: 2,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.94 : 5,348.84 = 2,107.54 : x
  2. Step 2: Convert to fraction form
    3,875.94/5,348.84 = 2,107.54/x
  3. Step 3: Cross multiply
    3,875.94x = 5,348.84 × 2,107.54
  4. Step 4: Simplify right side
    3,875.94x = 11,272,905.45
  5. Step 5: Solve for x
    x = 11,272,905.45/3,875.94
  6. Step 6: Final answer
    x = 2,908.43

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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.