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Finding the Fourth Proportional to 6,296.42, 8,688.69 and 3,643.64

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Solution

The fourth proportional to 6,296.42, 8,688.69 and 3,643.64 is: 5,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.42 : 8,688.69 = 3,643.64 : x
  2. Step 2: Convert to fraction form
    6,296.42/8,688.69 = 3,643.64/x
  3. Step 3: Cross multiply
    6,296.42x = 8,688.69 × 3,643.64
  4. Step 4: Simplify right side
    6,296.42x = 31,658,458.43
  5. Step 5: Solve for x
    x = 31,658,458.43/6,296.42
  6. Step 6: Final answer
    x = 5,028.01

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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.