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Finding the Fourth Proportional to 3,257.34, 4,881.14 and 3,014.34

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Solution

The fourth proportional to 3,257.34, 4,881.14 and 3,014.34 is: 4,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.34 : 4,881.14 = 3,014.34 : x
  2. Step 2: Convert to fraction form
    3,257.34/4,881.14 = 3,014.34/x
  3. Step 3: Cross multiply
    3,257.34x = 4,881.14 × 3,014.34
  4. Step 4: Simplify right side
    3,257.34x = 14,713,415.55
  5. Step 5: Solve for x
    x = 14,713,415.55/3,257.34
  6. Step 6: Final answer
    x = 4,517.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.