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Finding the Fourth Proportional to 3,853.64, 5,314.74 and 2,456.84

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Solution

The fourth proportional to 3,853.64, 5,314.74 and 2,456.84 is: 3,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.64 : 5,314.74 = 2,456.84 : x
  2. Step 2: Convert to fraction form
    3,853.64/5,314.74 = 2,456.84/x
  3. Step 3: Cross multiply
    3,853.64x = 5,314.74 × 2,456.84
  4. Step 4: Simplify right side
    3,853.64x = 13,057,465.82
  5. Step 5: Solve for x
    x = 13,057,465.82/3,853.64
  6. Step 6: Final answer
    x = 3,388.35

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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.