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Finding the Fourth Proportional to 4,640.94, 6,962.22 and 2,560.05

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Solution

The fourth proportional to 4,640.94, 6,962.22 and 2,560.05 is: 3,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.94 : 6,962.22 = 2,560.05 : x
  2. Step 2: Convert to fraction form
    4,640.94/6,962.22 = 2,560.05/x
  3. Step 3: Cross multiply
    4,640.94x = 6,962.22 × 2,560.05
  4. Step 4: Simplify right side
    4,640.94x = 17,823,631.31
  5. Step 5: Solve for x
    x = 17,823,631.31/4,640.94
  6. Step 6: Final answer
    x = 3,840.52

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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.