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Finding the Fourth Proportional to 4,974.48, 7,461.77 and 1,464.56

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Solution

The fourth proportional to 4,974.48, 7,461.77 and 1,464.56 is: 2,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.48 : 7,461.77 = 1,464.56 : x
  2. Step 2: Convert to fraction form
    4,974.48/7,461.77 = 1,464.56/x
  3. Step 3: Cross multiply
    4,974.48x = 7,461.77 × 1,464.56
  4. Step 4: Simplify right side
    4,974.48x = 10,928,165.24
  5. Step 5: Solve for x
    x = 10,928,165.24/4,974.48
  6. Step 6: Final answer
    x = 2,196.85

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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.