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Finding the Fourth Proportional to 4,315.63, 6,472.07 and 1,682.96

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Solution

The fourth proportional to 4,315.63, 6,472.07 and 1,682.96 is: 2,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.63 : 6,472.07 = 1,682.96 : x
  2. Step 2: Convert to fraction form
    4,315.63/6,472.07 = 1,682.96/x
  3. Step 3: Cross multiply
    4,315.63x = 6,472.07 × 1,682.96
  4. Step 4: Simplify right side
    4,315.63x = 10,892,236.87
  5. Step 5: Solve for x
    x = 10,892,236.87/4,315.63
  6. Step 6: Final answer
    x = 2,523.90

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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.