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Finding the Fourth Proportional to 6,428.25, 8,870.99 and 3,634.29

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Solution

The fourth proportional to 6,428.25, 8,870.99 and 3,634.29 is: 5,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.25 : 8,870.99 = 3,634.29 : x
  2. Step 2: Convert to fraction form
    6,428.25/8,870.99 = 3,634.29/x
  3. Step 3: Cross multiply
    6,428.25x = 8,870.99 × 3,634.29
  4. Step 4: Simplify right side
    6,428.25x = 32,239,732.08
  5. Step 5: Solve for x
    x = 32,239,732.08/6,428.25
  6. Step 6: Final answer
    x = 5,015.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.