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Finding the Fourth Proportional to 3,875.92, 5,348.80 and 2,107.54

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Solution

The fourth proportional to 3,875.92, 5,348.80 and 2,107.54 is: 2,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.92 : 5,348.80 = 2,107.54 : x
  2. Step 2: Convert to fraction form
    3,875.92/5,348.80 = 2,107.54/x
  3. Step 3: Cross multiply
    3,875.92x = 5,348.80 × 2,107.54
  4. Step 4: Simplify right side
    3,875.92x = 11,272,809.95
  5. Step 5: Solve for x
    x = 11,272,809.95/3,875.92
  6. Step 6: Final answer
    x = 2,908.42

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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.