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Finding the Fourth Proportional to 4,977.26, 7,466.98 and 1,514.42

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Solution

The fourth proportional to 4,977.26, 7,466.98 and 1,514.42 is: 2,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.26 : 7,466.98 = 1,514.42 : x
  2. Step 2: Convert to fraction form
    4,977.26/7,466.98 = 1,514.42/x
  3. Step 3: Cross multiply
    4,977.26x = 7,466.98 × 1,514.42
  4. Step 4: Simplify right side
    4,977.26x = 11,308,136.28
  5. Step 5: Solve for x
    x = 11,308,136.28/4,977.26
  6. Step 6: Final answer
    x = 2,271.96

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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.