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Finding the Fourth Proportional to 4,674.76, 7,018.26 and 3,288.74

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Solution

The fourth proportional to 4,674.76, 7,018.26 and 3,288.74 is: 4,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.76 : 7,018.26 = 3,288.74 : x
  2. Step 2: Convert to fraction form
    4,674.76/7,018.26 = 3,288.74/x
  3. Step 3: Cross multiply
    4,674.76x = 7,018.26 × 3,288.74
  4. Step 4: Simplify right side
    4,674.76x = 23,081,249.94
  5. Step 5: Solve for x
    x = 23,081,249.94/4,674.76
  6. Step 6: Final answer
    x = 4,937.42

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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.