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Finding the Fourth Proportional to 4,644.53, 6,406.76 and 2,874.88

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Solution

The fourth proportional to 4,644.53, 6,406.76 and 2,874.88 is: 3,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.53 : 6,406.76 = 2,874.88 : x
  2. Step 2: Convert to fraction form
    4,644.53/6,406.76 = 2,874.88/x
  3. Step 3: Cross multiply
    4,644.53x = 6,406.76 × 2,874.88
  4. Step 4: Simplify right side
    4,644.53x = 18,418,666.19
  5. Step 5: Solve for x
    x = 18,418,666.19/4,644.53
  6. Step 6: Final answer
    x = 3,965.67

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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.