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Finding the Fourth Proportional to 6,082.47, 8,393.82 and 3,564.08

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Solution

The fourth proportional to 6,082.47, 8,393.82 and 3,564.08 is: 4,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.47 : 8,393.82 = 3,564.08 : x
  2. Step 2: Convert to fraction form
    6,082.47/8,393.82 = 3,564.08/x
  3. Step 3: Cross multiply
    6,082.47x = 8,393.82 × 3,564.08
  4. Step 4: Simplify right side
    6,082.47x = 29,916,255.76
  5. Step 5: Solve for x
    x = 29,916,255.76/6,082.47
  6. Step 6: Final answer
    x = 4,918.44

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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.