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Finding the Fourth Proportional to 4,900.19, 7,333.86 and 4,022.65

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Solution

The fourth proportional to 4,900.19, 7,333.86 and 4,022.65 is: 6,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.19 : 7,333.86 = 4,022.65 : x
  2. Step 2: Convert to fraction form
    4,900.19/7,333.86 = 4,022.65/x
  3. Step 3: Cross multiply
    4,900.19x = 7,333.86 × 4,022.65
  4. Step 4: Simplify right side
    4,900.19x = 29,501,515.26
  5. Step 5: Solve for x
    x = 29,501,515.26/4,900.19
  6. Step 6: Final answer
    x = 6,020.48

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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.