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Finding the Fourth Proportional to 6,455.24, 8,908.12 and 3,802.84

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Solution

The fourth proportional to 6,455.24, 8,908.12 and 3,802.84 is: 5,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.24 : 8,908.12 = 3,802.84 : x
  2. Step 2: Convert to fraction form
    6,455.24/8,908.12 = 3,802.84/x
  3. Step 3: Cross multiply
    6,455.24x = 8,908.12 × 3,802.84
  4. Step 4: Simplify right side
    6,455.24x = 33,876,155.06
  5. Step 5: Solve for x
    x = 33,876,155.06/6,455.24
  6. Step 6: Final answer
    x = 5,247.85

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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.