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Finding the Fourth Proportional to 6,082.24, 8,390.52 and 3,564.40

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Solution

The fourth proportional to 6,082.24, 8,390.52 and 3,564.40 is: 4,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.24 : 8,390.52 = 3,564.40 : x
  2. Step 2: Convert to fraction form
    6,082.24/8,390.52 = 3,564.40/x
  3. Step 3: Cross multiply
    6,082.24x = 8,390.52 × 3,564.40
  4. Step 4: Simplify right side
    6,082.24x = 29,907,169.49
  5. Step 5: Solve for x
    x = 29,907,169.49/6,082.24
  6. Step 6: Final answer
    x = 4,917.13

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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.