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Finding the Fourth Proportional to 6,464.84, 8,924.46 and 4,226.80

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Solution

The fourth proportional to 6,464.84, 8,924.46 and 4,226.80 is: 5,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.84 : 8,924.46 = 4,226.80 : x
  2. Step 2: Convert to fraction form
    6,464.84/8,924.46 = 4,226.80/x
  3. Step 3: Cross multiply
    6,464.84x = 8,924.46 × 4,226.80
  4. Step 4: Simplify right side
    6,464.84x = 37,721,907.53
  5. Step 5: Solve for x
    x = 37,721,907.53/6,464.84
  6. Step 6: Final answer
    x = 5,834.93

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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.