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Finding the Fourth Proportional to 5,897.49, 8,846.24 and 1,514.96

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Solution

The fourth proportional to 5,897.49, 8,846.24 and 1,514.96 is: 2,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.49 : 8,846.24 = 1,514.96 : x
  2. Step 2: Convert to fraction form
    5,897.49/8,846.24 = 1,514.96/x
  3. Step 3: Cross multiply
    5,897.49x = 8,846.24 × 1,514.96
  4. Step 4: Simplify right side
    5,897.49x = 13,401,647.94
  5. Step 5: Solve for x
    x = 13,401,647.94/5,897.49
  6. Step 6: Final answer
    x = 2,272.43

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Similar ratio
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1.5x scale

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.