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Finding the Fourth Proportional to 4,813.72, 7,216.52 and 2,964.76

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Solution

The fourth proportional to 4,813.72, 7,216.52 and 2,964.76 is: 4,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.72 : 7,216.52 = 2,964.76 : x
  2. Step 2: Convert to fraction form
    4,813.72/7,216.52 = 2,964.76/x
  3. Step 3: Cross multiply
    4,813.72x = 7,216.52 × 2,964.76
  4. Step 4: Simplify right side
    4,813.72x = 21,395,249.84
  5. Step 5: Solve for x
    x = 21,395,249.84/4,813.72
  6. Step 6: Final answer
    x = 4,444.64

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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.