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Finding the Fourth Proportional to 4,929.85, 7,394.83 and 1,642.94

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Solution

The fourth proportional to 4,929.85, 7,394.83 and 1,642.94 is: 2,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.85 : 7,394.83 = 1,642.94 : x
  2. Step 2: Convert to fraction form
    4,929.85/7,394.83 = 1,642.94/x
  3. Step 3: Cross multiply
    4,929.85x = 7,394.83 × 1,642.94
  4. Step 4: Simplify right side
    4,929.85x = 12,149,262.00
  5. Step 5: Solve for x
    x = 12,149,262.00/4,929.85
  6. Step 6: Final answer
    x = 2,464.43

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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.