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Finding the Fourth Proportional to 5,872.57, 8,106.68 and 3,514.25

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Solution

The fourth proportional to 5,872.57, 8,106.68 and 3,514.25 is: 4,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.57 : 8,106.68 = 3,514.25 : x
  2. Step 2: Convert to fraction form
    5,872.57/8,106.68 = 3,514.25/x
  3. Step 3: Cross multiply
    5,872.57x = 8,106.68 × 3,514.25
  4. Step 4: Simplify right side
    5,872.57x = 28,488,900.19
  5. Step 5: Solve for x
    x = 28,488,900.19/5,872.57
  6. Step 6: Final answer
    x = 4,851.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.