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Finding the Fourth Proportional to 3,257.84, 4,881.89 and 3,014.84

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Solution

The fourth proportional to 3,257.84, 4,881.89 and 3,014.84 is: 4,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.84 : 4,881.89 = 3,014.84 : x
  2. Step 2: Convert to fraction form
    3,257.84/4,881.89 = 3,014.84/x
  3. Step 3: Cross multiply
    3,257.84x = 4,881.89 × 3,014.84
  4. Step 4: Simplify right side
    3,257.84x = 14,718,077.76
  5. Step 5: Solve for x
    x = 14,718,077.76/3,257.84
  6. Step 6: Final answer
    x = 4,517.75

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1.5x scale

Why These Related Problems?

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