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Finding the Fourth Proportional to 5,162.88, 7,733.94 and 2,385.66

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Solution

The fourth proportional to 5,162.88, 7,733.94 and 2,385.66 is: 3,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.88 : 7,733.94 = 2,385.66 : x
  2. Step 2: Convert to fraction form
    5,162.88/7,733.94 = 2,385.66/x
  3. Step 3: Cross multiply
    5,162.88x = 7,733.94 × 2,385.66
  4. Step 4: Simplify right side
    5,162.88x = 18,450,551.30
  5. Step 5: Solve for x
    x = 18,450,551.30/5,162.88
  6. Step 6: Final answer
    x = 3,573.69

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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.