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Finding the Fourth Proportional to 4,977.09, 7,466.04 and 1,514.34

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Solution

The fourth proportional to 4,977.09, 7,466.04 and 1,514.34 is: 2,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.09 : 7,466.04 = 1,514.34 : x
  2. Step 2: Convert to fraction form
    4,977.09/7,466.04 = 1,514.34/x
  3. Step 3: Cross multiply
    4,977.09x = 7,466.04 × 1,514.34
  4. Step 4: Simplify right side
    4,977.09x = 11,306,123.01
  5. Step 5: Solve for x
    x = 11,306,123.01/4,977.09
  6. Step 6: Final answer
    x = 2,271.63

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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.