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Finding the Fourth Proportional to 5,736.90, 8,599.77 and 1,838.46

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Solution

The fourth proportional to 5,736.90, 8,599.77 and 1,838.46 is: 2,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.90 : 8,599.77 = 1,838.46 : x
  2. Step 2: Convert to fraction form
    5,736.90/8,599.77 = 1,838.46/x
  3. Step 3: Cross multiply
    5,736.90x = 8,599.77 × 1,838.46
  4. Step 4: Simplify right side
    5,736.90x = 15,810,333.15
  5. Step 5: Solve for x
    x = 15,810,333.15/5,736.90
  6. Step 6: Final answer
    x = 2,755.90

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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.