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Finding the Fourth Proportional to 6,170.08, 8,514.77 and 3,746.74

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Solution

The fourth proportional to 6,170.08, 8,514.77 and 3,746.74 is: 5,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.08 : 8,514.77 = 3,746.74 : x
  2. Step 2: Convert to fraction form
    6,170.08/8,514.77 = 3,746.74/x
  3. Step 3: Cross multiply
    6,170.08x = 8,514.77 × 3,746.74
  4. Step 4: Simplify right side
    6,170.08x = 31,902,586.78
  5. Step 5: Solve for x
    x = 31,902,586.78/6,170.08
  6. Step 6: Final answer
    x = 5,170.53

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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.