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Finding the Fourth Proportional to 4,728.80, 7,076.40 and 4,119.20

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Solution

The fourth proportional to 4,728.80, 7,076.40 and 4,119.20 is: 6,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.80 : 7,076.40 = 4,119.20 : x
  2. Step 2: Convert to fraction form
    4,728.80/7,076.40 = 4,119.20/x
  3. Step 3: Cross multiply
    4,728.80x = 7,076.40 × 4,119.20
  4. Step 4: Simplify right side
    4,728.80x = 29,149,106.88
  5. Step 5: Solve for x
    x = 29,149,106.88/4,728.80
  6. Step 6: Final answer
    x = 6,164.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.