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Finding the Fourth Proportional to 5,647.06, 8,428.91 and 4,819.24

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Solution

The fourth proportional to 5,647.06, 8,428.91 and 4,819.24 is: 7,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.06 : 8,428.91 = 4,819.24 : x
  2. Step 2: Convert to fraction form
    5,647.06/8,428.91 = 4,819.24/x
  3. Step 3: Cross multiply
    5,647.06x = 8,428.91 × 4,819.24
  4. Step 4: Simplify right side
    5,647.06x = 40,620,940.23
  5. Step 5: Solve for x
    x = 40,620,940.23/5,647.06
  6. Step 6: Final answer
    x = 7,193.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.