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Finding the Fourth Proportional to 3,825.84, 5,278.80 and 2,254.08

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Solution

The fourth proportional to 3,825.84, 5,278.80 and 2,254.08 is: 3,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.84 : 5,278.80 = 2,254.08 : x
  2. Step 2: Convert to fraction form
    3,825.84/5,278.80 = 2,254.08/x
  3. Step 3: Cross multiply
    3,825.84x = 5,278.80 × 2,254.08
  4. Step 4: Simplify right side
    3,825.84x = 11,898,837.50
  5. Step 5: Solve for x
    x = 11,898,837.50/3,825.84
  6. Step 6: Final answer
    x = 3,110.12

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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.