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Finding the Fourth Proportional to 4,064.53, 6,096.17 and 1,290.84

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Solution

The fourth proportional to 4,064.53, 6,096.17 and 1,290.84 is: 1,936.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.53 : 6,096.17 = 1,290.84 : x
  2. Step 2: Convert to fraction form
    4,064.53/6,096.17 = 1,290.84/x
  3. Step 3: Cross multiply
    4,064.53x = 6,096.17 × 1,290.84
  4. Step 4: Simplify right side
    4,064.53x = 7,869,173.63
  5. Step 5: Solve for x
    x = 7,869,173.63/4,064.53
  6. Step 6: Final answer
    x = 1,936.06

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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.