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Finding the Fourth Proportional to 4,777.25, 6,592.61 and 2,914.61

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Solution

The fourth proportional to 4,777.25, 6,592.61 and 2,914.61 is: 4,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.25 : 6,592.61 = 2,914.61 : x
  2. Step 2: Convert to fraction form
    4,777.25/6,592.61 = 2,914.61/x
  3. Step 3: Cross multiply
    4,777.25x = 6,592.61 × 2,914.61
  4. Step 4: Simplify right side
    4,777.25x = 19,214,887.03
  5. Step 5: Solve for x
    x = 19,214,887.03/4,777.25
  6. Step 6: Final answer
    x = 4,022.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.