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Finding the Fourth Proportional to 3,867.39, 5,800.35 and 1,093.40

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Solution

The fourth proportional to 3,867.39, 5,800.35 and 1,093.40 is: 1,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.39 : 5,800.35 = 1,093.40 : x
  2. Step 2: Convert to fraction form
    3,867.39/5,800.35 = 1,093.40/x
  3. Step 3: Cross multiply
    3,867.39x = 5,800.35 × 1,093.40
  4. Step 4: Simplify right side
    3,867.39x = 6,342,070.95
  5. Step 5: Solve for x
    x = 6,342,070.95/3,867.39
  6. Step 6: Final answer
    x = 1,639.88

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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.