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Finding the Fourth Proportional to 3,093.73, 4,640.54 and 753.75

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Solution

The fourth proportional to 3,093.73, 4,640.54 and 753.75 is: 1,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.73 : 4,640.54 = 753.75 : x
  2. Step 2: Convert to fraction form
    3,093.73/4,640.54 = 753.75/x
  3. Step 3: Cross multiply
    3,093.73x = 4,640.54 × 753.75
  4. Step 4: Simplify right side
    3,093.73x = 3,497,803.26
  5. Step 5: Solve for x
    x = 3,497,803.26/3,093.73
  6. Step 6: Final answer
    x = 1,130.61

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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.