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Finding the Fourth Proportional to 4,768.77, 6,580.78 and 2,644.31

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Solution

The fourth proportional to 4,768.77, 6,580.78 and 2,644.31 is: 3,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.77 : 6,580.78 = 2,644.31 : x
  2. Step 2: Convert to fraction form
    4,768.77/6,580.78 = 2,644.31/x
  3. Step 3: Cross multiply
    4,768.77x = 6,580.78 × 2,644.31
  4. Step 4: Simplify right side
    4,768.77x = 17,401,605.91
  5. Step 5: Solve for x
    x = 17,401,605.91/4,768.77
  6. Step 6: Final answer
    x = 3,649.08

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