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Finding the Fourth Proportional to 4,866.96, 7,300.95 and 2,234.02

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Solution

The fourth proportional to 4,866.96, 7,300.95 and 2,234.02 is: 3,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.96 : 7,300.95 = 2,234.02 : x
  2. Step 2: Convert to fraction form
    4,866.96/7,300.95 = 2,234.02/x
  3. Step 3: Cross multiply
    4,866.96x = 7,300.95 × 2,234.02
  4. Step 4: Simplify right side
    4,866.96x = 16,310,431.81
  5. Step 5: Solve for x
    x = 16,310,431.81/4,866.96
  6. Step 6: Final answer
    x = 3,351.26

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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.