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Finding the Fourth Proportional to 4,898.70, 7,357.86 and 4,022.82

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Solution

The fourth proportional to 4,898.70, 7,357.86 and 4,022.82 is: 6,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.70 : 7,357.86 = 4,022.82 : x
  2. Step 2: Convert to fraction form
    4,898.70/7,357.86 = 4,022.82/x
  3. Step 3: Cross multiply
    4,898.70x = 7,357.86 × 4,022.82
  4. Step 4: Simplify right side
    4,898.70x = 29,599,346.37
  5. Step 5: Solve for x
    x = 29,599,346.37/4,898.70
  6. Step 6: Final answer
    x = 6,042.29

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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.