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Finding the Fourth Proportional to 4,768.61, 6,580.44 and 2,880.09

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Solution

The fourth proportional to 4,768.61, 6,580.44 and 2,880.09 is: 3,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.61 : 6,580.44 = 2,880.09 : x
  2. Step 2: Convert to fraction form
    4,768.61/6,580.44 = 2,880.09/x
  3. Step 3: Cross multiply
    4,768.61x = 6,580.44 × 2,880.09
  4. Step 4: Simplify right side
    4,768.61x = 18,952,259.44
  5. Step 5: Solve for x
    x = 18,952,259.44/4,768.61
  6. Step 6: Final answer
    x = 3,974.38

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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.