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Finding the Fourth Proportional to 5,011.29, 7,514.57 and 1,499.94

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Solution

The fourth proportional to 5,011.29, 7,514.57 and 1,499.94 is: 2,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.29 : 7,514.57 = 1,499.94 : x
  2. Step 2: Convert to fraction form
    5,011.29/7,514.57 = 1,499.94/x
  3. Step 3: Cross multiply
    5,011.29x = 7,514.57 × 1,499.94
  4. Step 4: Simplify right side
    5,011.29x = 11,271,407.88
  5. Step 5: Solve for x
    x = 11,271,407.88/5,011.29
  6. Step 6: Final answer
    x = 2,249.20

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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.