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Finding the Fourth Proportional to 4,486.53, 6,715.89 and 4,103.79

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Solution

The fourth proportional to 4,486.53, 6,715.89 and 4,103.79 is: 6,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.53 : 6,715.89 = 4,103.79 : x
  2. Step 2: Convert to fraction form
    4,486.53/6,715.89 = 4,103.79/x
  3. Step 3: Cross multiply
    4,486.53x = 6,715.89 × 4,103.79
  4. Step 4: Simplify right side
    4,486.53x = 27,560,602.22
  5. Step 5: Solve for x
    x = 27,560,602.22/4,486.53
  6. Step 6: Final answer
    x = 6,142.97

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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.