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Finding the Fourth Proportional to 4,714.40, 6,504 and 2,826.02

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Solution

The fourth proportional to 4,714.40, 6,504 and 2,826.02 is: 3,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.40 : 6,504 = 2,826.02 : x
  2. Step 2: Convert to fraction form
    4,714.40/6,504 = 2,826.02/x
  3. Step 3: Cross multiply
    4,714.40x = 6,504 × 2,826.02
  4. Step 4: Simplify right side
    4,714.40x = 18,380,401.56
  5. Step 5: Solve for x
    x = 18,380,401.56/4,714.40
  6. Step 6: Final answer
    x = 3,898.78

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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.