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Finding the Fourth Proportional to 3,494.56, 4,829.40 and 2,864.08

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Solution

The fourth proportional to 3,494.56, 4,829.40 and 2,864.08 is: 3,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.56 : 4,829.40 = 2,864.08 : x
  2. Step 2: Convert to fraction form
    3,494.56/4,829.40 = 2,864.08/x
  3. Step 3: Cross multiply
    3,494.56x = 4,829.40 × 2,864.08
  4. Step 4: Simplify right side
    3,494.56x = 13,831,787.95
  5. Step 5: Solve for x
    x = 13,831,787.95/3,494.56
  6. Step 6: Final answer
    x = 3,958.09

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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.