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Finding the Fourth Proportional to 5,514.76, 8,272.18 and 2,052

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Solution

The fourth proportional to 5,514.76, 8,272.18 and 2,052 is: 3,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.76 : 8,272.18 = 2,052 : x
  2. Step 2: Convert to fraction form
    5,514.76/8,272.18 = 2,052/x
  3. Step 3: Cross multiply
    5,514.76x = 8,272.18 × 2,052
  4. Step 4: Simplify right side
    5,514.76x = 16,974,513.36
  5. Step 5: Solve for x
    x = 16,974,513.36/5,514.76
  6. Step 6: Final answer
    x = 3,078.01

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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.