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Finding the Fourth Proportional to 6,146.72, 8,483.12 and 3,758.09

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Solution

The fourth proportional to 6,146.72, 8,483.12 and 3,758.09 is: 5,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.72 : 8,483.12 = 3,758.09 : x
  2. Step 2: Convert to fraction form
    6,146.72/8,483.12 = 3,758.09/x
  3. Step 3: Cross multiply
    6,146.72x = 8,483.12 × 3,758.09
  4. Step 4: Simplify right side
    6,146.72x = 31,880,328.44
  5. Step 5: Solve for x
    x = 31,880,328.44/6,146.72
  6. Step 6: Final answer
    x = 5,186.56

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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.