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Finding the Fourth Proportional to 3,257.28, 4,887.94 and 1,409.66

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Solution

The fourth proportional to 3,257.28, 4,887.94 and 1,409.66 is: 2,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.28 : 4,887.94 = 1,409.66 : x
  2. Step 2: Convert to fraction form
    3,257.28/4,887.94 = 1,409.66/x
  3. Step 3: Cross multiply
    3,257.28x = 4,887.94 × 1,409.66
  4. Step 4: Simplify right side
    3,257.28x = 6,890,333.50
  5. Step 5: Solve for x
    x = 6,890,333.50/3,257.28
  6. Step 6: Final answer
    x = 2,115.36

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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.