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Finding the Fourth Proportional to 4,968.62, 7,452.03 and 2,006.95

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Solution

The fourth proportional to 4,968.62, 7,452.03 and 2,006.95 is: 3,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.62 : 7,452.03 = 2,006.95 : x
  2. Step 2: Convert to fraction form
    4,968.62/7,452.03 = 2,006.95/x
  3. Step 3: Cross multiply
    4,968.62x = 7,452.03 × 2,006.95
  4. Step 4: Simplify right side
    4,968.62x = 14,955,858.50
  5. Step 5: Solve for x
    x = 14,955,858.50/4,968.62
  6. Step 6: Final answer
    x = 3,010.07

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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.