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Finding the Fourth Proportional to 3,264.26, 4,894.26 and 1,858.72

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Solution

The fourth proportional to 3,264.26, 4,894.26 and 1,858.72 is: 2,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.26 : 4,894.26 = 1,858.72 : x
  2. Step 2: Convert to fraction form
    3,264.26/4,894.26 = 1,858.72/x
  3. Step 3: Cross multiply
    3,264.26x = 4,894.26 × 1,858.72
  4. Step 4: Simplify right side
    3,264.26x = 9,097,058.95
  5. Step 5: Solve for x
    x = 9,097,058.95/3,264.26
  6. Step 6: Final answer
    x = 2,786.87

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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.