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Finding the Fourth Proportional to 4,460.63, 6,695.10 and 2,271

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Solution

The fourth proportional to 4,460.63, 6,695.10 and 2,271 is: 3,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.63 : 6,695.10 = 2,271 : x
  2. Step 2: Convert to fraction form
    4,460.63/6,695.10 = 2,271/x
  3. Step 3: Cross multiply
    4,460.63x = 6,695.10 × 2,271
  4. Step 4: Simplify right side
    4,460.63x = 15,204,560.75
  5. Step 5: Solve for x
    x = 15,204,560.75/4,460.63
  6. Step 6: Final answer
    x = 3,408.61

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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.