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Finding the Fourth Proportional to 6,034.02, 8,324.74 and 3,675.30

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Solution

The fourth proportional to 6,034.02, 8,324.74 and 3,675.30 is: 5,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.02 : 8,324.74 = 3,675.30 : x
  2. Step 2: Convert to fraction form
    6,034.02/8,324.74 = 3,675.30/x
  3. Step 3: Cross multiply
    6,034.02x = 8,324.74 × 3,675.30
  4. Step 4: Simplify right side
    6,034.02x = 30,595,916.92
  5. Step 5: Solve for x
    x = 30,595,916.92/6,034.02
  6. Step 6: Final answer
    x = 5,070.57

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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.