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Finding the Fourth Proportional to 6,475.39, 8,935.36 and 3,642.30

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Solution

The fourth proportional to 6,475.39, 8,935.36 and 3,642.30 is: 5,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.39 : 8,935.36 = 3,642.30 : x
  2. Step 2: Convert to fraction form
    6,475.39/8,935.36 = 3,642.30/x
  3. Step 3: Cross multiply
    6,475.39x = 8,935.36 × 3,642.30
  4. Step 4: Simplify right side
    6,475.39x = 32,545,252.62
  5. Step 5: Solve for x
    x = 32,545,252.62/6,475.39
  6. Step 6: Final answer
    x = 5,025.99

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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.