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Finding the Fourth Proportional to 4,968.42, 7,454.19 and 2,048.10

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Solution

The fourth proportional to 4,968.42, 7,454.19 and 2,048.10 is: 3,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.42 : 7,454.19 = 2,048.10 : x
  2. Step 2: Convert to fraction form
    4,968.42/7,454.19 = 2,048.10/x
  3. Step 3: Cross multiply
    4,968.42x = 7,454.19 × 2,048.10
  4. Step 4: Simplify right side
    4,968.42x = 15,266,926.54
  5. Step 5: Solve for x
    x = 15,266,926.54/4,968.42
  6. Step 6: Final answer
    x = 3,072.79

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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.