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Finding the Fourth Proportional to 4,766.88, 6,580.92 and 3,203.28

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Solution

The fourth proportional to 4,766.88, 6,580.92 and 3,203.28 is: 4,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.88 : 6,580.92 = 3,203.28 : x
  2. Step 2: Convert to fraction form
    4,766.88/6,580.92 = 3,203.28/x
  3. Step 3: Cross multiply
    4,766.88x = 6,580.92 × 3,203.28
  4. Step 4: Simplify right side
    4,766.88x = 21,080,529.42
  5. Step 5: Solve for x
    x = 21,080,529.42/4,766.88
  6. Step 6: Final answer
    x = 4,422.29

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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.