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Finding the Fourth Proportional to 4,968.96, 7,451.80 and 2,195.52

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Solution

The fourth proportional to 4,968.96, 7,451.80 and 2,195.52 is: 3,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.96 : 7,451.80 = 2,195.52 : x
  2. Step 2: Convert to fraction form
    4,968.96/7,451.80 = 2,195.52/x
  3. Step 3: Cross multiply
    4,968.96x = 7,451.80 × 2,195.52
  4. Step 4: Simplify right side
    4,968.96x = 16,360,575.94
  5. Step 5: Solve for x
    x = 16,360,575.94/4,968.96
  6. Step 6: Final answer
    x = 3,292.56

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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.