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Finding the Fourth Proportional to 4,828.98, 7,246.73 and 1,708.98

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Solution

The fourth proportional to 4,828.98, 7,246.73 and 1,708.98 is: 2,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.98 : 7,246.73 = 1,708.98 : x
  2. Step 2: Convert to fraction form
    4,828.98/7,246.73 = 1,708.98/x
  3. Step 3: Cross multiply
    4,828.98x = 7,246.73 × 1,708.98
  4. Step 4: Simplify right side
    4,828.98x = 12,384,508.09
  5. Step 5: Solve for x
    x = 12,384,508.09/4,828.98
  6. Step 6: Final answer
    x = 2,564.62

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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.