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Finding the Fourth Proportional to 4,735.94, 7,108.50 and 2,272.46

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Solution

The fourth proportional to 4,735.94, 7,108.50 and 2,272.46 is: 3,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.94 : 7,108.50 = 2,272.46 : x
  2. Step 2: Convert to fraction form
    4,735.94/7,108.50 = 2,272.46/x
  3. Step 3: Cross multiply
    4,735.94x = 7,108.50 × 2,272.46
  4. Step 4: Simplify right side
    4,735.94x = 16,153,781.91
  5. Step 5: Solve for x
    x = 16,153,781.91/4,735.94
  6. Step 6: Final answer
    x = 3,410.89

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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.