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Finding the Fourth Proportional to 3,878.56, 5,350.24 and 2,459.64

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Solution

The fourth proportional to 3,878.56, 5,350.24 and 2,459.64 is: 3,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.56 : 5,350.24 = 2,459.64 : x
  2. Step 2: Convert to fraction form
    3,878.56/5,350.24 = 2,459.64/x
  3. Step 3: Cross multiply
    3,878.56x = 5,350.24 × 2,459.64
  4. Step 4: Simplify right side
    3,878.56x = 13,159,664.31
  5. Step 5: Solve for x
    x = 13,159,664.31/3,878.56
  6. Step 6: Final answer
    x = 3,392.93

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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.