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Finding the Fourth Proportional to 4,696.20, 7,057.62 and 4,380.54

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Solution

The fourth proportional to 4,696.20, 7,057.62 and 4,380.54 is: 6,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.20 : 7,057.62 = 4,380.54 : x
  2. Step 2: Convert to fraction form
    4,696.20/7,057.62 = 4,380.54/x
  3. Step 3: Cross multiply
    4,696.20x = 7,057.62 × 4,380.54
  4. Step 4: Simplify right side
    4,696.20x = 30,916,186.71
  5. Step 5: Solve for x
    x = 30,916,186.71/4,696.20
  6. Step 6: Final answer
    x = 6,583.23

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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.