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Finding the Fourth Proportional to 4,162.08, 6,271.22 and 3,714.46

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Solution

The fourth proportional to 4,162.08, 6,271.22 and 3,714.46 is: 5,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.08 : 6,271.22 = 3,714.46 : x
  2. Step 2: Convert to fraction form
    4,162.08/6,271.22 = 3,714.46/x
  3. Step 3: Cross multiply
    4,162.08x = 6,271.22 × 3,714.46
  4. Step 4: Simplify right side
    4,162.08x = 23,294,189.45
  5. Step 5: Solve for x
    x = 23,294,189.45/4,162.08
  6. Step 6: Final answer
    x = 5,596.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.