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Finding the Fourth Proportional to 6,288.24, 8,677.70 and 3,635.64

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Solution

The fourth proportional to 6,288.24, 8,677.70 and 3,635.64 is: 5,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.24 : 8,677.70 = 3,635.64 : x
  2. Step 2: Convert to fraction form
    6,288.24/8,677.70 = 3,635.64/x
  3. Step 3: Cross multiply
    6,288.24x = 8,677.70 × 3,635.64
  4. Step 4: Simplify right side
    6,288.24x = 31,548,993.23
  5. Step 5: Solve for x
    x = 31,548,993.23/6,288.24
  6. Step 6: Final answer
    x = 5,017.14

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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.