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Finding the Fourth Proportional to 4,770, 6,583.80 and 3,179.28

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Solution

The fourth proportional to 4,770, 6,583.80 and 3,179.28 is: 4,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770 : 6,583.80 = 3,179.28 : x
  2. Step 2: Convert to fraction form
    4,770/6,583.80 = 3,179.28/x
  3. Step 3: Cross multiply
    4,770x = 6,583.80 × 3,179.28
  4. Step 4: Simplify right side
    4,770x = 20,931,743.66
  5. Step 5: Solve for x
    x = 20,931,743.66/4,770
  6. Step 6: Final answer
    x = 4,388.21

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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.