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Finding the Fourth Proportional to 4,814.72, 7,178.93 and 4,727.24

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Solution

The fourth proportional to 4,814.72, 7,178.93 and 4,727.24 is: 7,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.72 : 7,178.93 = 4,727.24 : x
  2. Step 2: Convert to fraction form
    4,814.72/7,178.93 = 4,727.24/x
  3. Step 3: Cross multiply
    4,814.72x = 7,178.93 × 4,727.24
  4. Step 4: Simplify right side
    4,814.72x = 33,936,525.05
  5. Step 5: Solve for x
    x = 33,936,525.05/4,814.72
  6. Step 6: Final answer
    x = 7,048.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.