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Finding the Fourth Proportional to 4,890.14, 7,336.43 and 1,968.68

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Solution

The fourth proportional to 4,890.14, 7,336.43 and 1,968.68 is: 2,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.14 : 7,336.43 = 1,968.68 : x
  2. Step 2: Convert to fraction form
    4,890.14/7,336.43 = 1,968.68/x
  3. Step 3: Cross multiply
    4,890.14x = 7,336.43 × 1,968.68
  4. Step 4: Simplify right side
    4,890.14x = 14,443,036.49
  5. Step 5: Solve for x
    x = 14,443,036.49/4,890.14
  6. Step 6: Final answer
    x = 2,953.50

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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.