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Finding the Fourth Proportional to 4,438.53, 6,655.67 and 2,096.58

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Solution

The fourth proportional to 4,438.53, 6,655.67 and 2,096.58 is: 3,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438.53 : 6,655.67 = 2,096.58 : x
  2. Step 2: Convert to fraction form
    4,438.53/6,655.67 = 2,096.58/x
  3. Step 3: Cross multiply
    4,438.53x = 6,655.67 × 2,096.58
  4. Step 4: Simplify right side
    4,438.53x = 13,954,166.95
  5. Step 5: Solve for x
    x = 13,954,166.95/4,438.53
  6. Step 6: Final answer
    x = 3,143.87

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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.