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Finding the Fourth Proportional to 3,284.85, 4,927.13 and 1,093.50

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Solution

The fourth proportional to 3,284.85, 4,927.13 and 1,093.50 is: 1,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.85 : 4,927.13 = 1,093.50 : x
  2. Step 2: Convert to fraction form
    3,284.85/4,927.13 = 1,093.50/x
  3. Step 3: Cross multiply
    3,284.85x = 4,927.13 × 1,093.50
  4. Step 4: Simplify right side
    3,284.85x = 5,387,815.29
  5. Step 5: Solve for x
    x = 5,387,815.29/3,284.85
  6. Step 6: Final answer
    x = 1,640.20

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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.