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Finding the Fourth Proportional to 4,802.56, 7,229.30 and 3,425.42

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Solution

The fourth proportional to 4,802.56, 7,229.30 and 3,425.42 is: 5,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.56 : 7,229.30 = 3,425.42 : x
  2. Step 2: Convert to fraction form
    4,802.56/7,229.30 = 3,425.42/x
  3. Step 3: Cross multiply
    4,802.56x = 7,229.30 × 3,425.42
  4. Step 4: Simplify right side
    4,802.56x = 24,763,389.75
  5. Step 5: Solve for x
    x = 24,763,389.75/4,802.56
  6. Step 6: Final answer
    x = 5,156.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.