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Finding the Fourth Proportional to 5,897.27, 8,846.22 and 1,514.76

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Solution

The fourth proportional to 5,897.27, 8,846.22 and 1,514.76 is: 2,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.27 : 8,846.22 = 1,514.76 : x
  2. Step 2: Convert to fraction form
    5,897.27/8,846.22 = 1,514.76/x
  3. Step 3: Cross multiply
    5,897.27x = 8,846.22 × 1,514.76
  4. Step 4: Simplify right side
    5,897.27x = 13,399,900.21
  5. Step 5: Solve for x
    x = 13,399,900.21/5,897.27
  6. Step 6: Final answer
    x = 2,272.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.