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Finding the Fourth Proportional to 4,734.86, 7,099.94 and 2,761.16

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Solution

The fourth proportional to 4,734.86, 7,099.94 and 2,761.16 is: 4,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.86 : 7,099.94 = 2,761.16 : x
  2. Step 2: Convert to fraction form
    4,734.86/7,099.94 = 2,761.16/x
  3. Step 3: Cross multiply
    4,734.86x = 7,099.94 × 2,761.16
  4. Step 4: Simplify right side
    4,734.86x = 19,604,070.33
  5. Step 5: Solve for x
    x = 19,604,070.33/4,734.86
  6. Step 6: Final answer
    x = 4,140.37

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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.