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Finding the Fourth Proportional to 4,926.84, 7,391.49 and 1,464.09

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Solution

The fourth proportional to 4,926.84, 7,391.49 and 1,464.09 is: 2,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.84 : 7,391.49 = 1,464.09 : x
  2. Step 2: Convert to fraction form
    4,926.84/7,391.49 = 1,464.09/x
  3. Step 3: Cross multiply
    4,926.84x = 7,391.49 × 1,464.09
  4. Step 4: Simplify right side
    4,926.84x = 10,821,806.59
  5. Step 5: Solve for x
    x = 10,821,806.59/4,926.84
  6. Step 6: Final answer
    x = 2,196.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.