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Finding the Fourth Proportional to 5,144.99, 7,715.88 and 2,678.47

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Solution

The fourth proportional to 5,144.99, 7,715.88 and 2,678.47 is: 4,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.99 : 7,715.88 = 2,678.47 : x
  2. Step 2: Convert to fraction form
    5,144.99/7,715.88 = 2,678.47/x
  3. Step 3: Cross multiply
    5,144.99x = 7,715.88 × 2,678.47
  4. Step 4: Simplify right side
    5,144.99x = 20,666,733.81
  5. Step 5: Solve for x
    x = 20,666,733.81/5,144.99
  6. Step 6: Final answer
    x = 4,016.87

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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.