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Finding the Fourth Proportional to 4,732.63, 7,093.63 and 1,920.81

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Solution

The fourth proportional to 4,732.63, 7,093.63 and 1,920.81 is: 2,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.63 : 7,093.63 = 1,920.81 : x
  2. Step 2: Convert to fraction form
    4,732.63/7,093.63 = 1,920.81/x
  3. Step 3: Cross multiply
    4,732.63x = 7,093.63 × 1,920.81
  4. Step 4: Simplify right side
    4,732.63x = 13,625,515.44
  5. Step 5: Solve for x
    x = 13,625,515.44/4,732.63
  6. Step 6: Final answer
    x = 2,879.06

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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.