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Finding the Fourth Proportional to 5,412.94, 8,118.49 and 1,516.45

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Solution

The fourth proportional to 5,412.94, 8,118.49 and 1,516.45 is: 2,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.94 : 8,118.49 = 1,516.45 : x
  2. Step 2: Convert to fraction form
    5,412.94/8,118.49 = 1,516.45/x
  3. Step 3: Cross multiply
    5,412.94x = 8,118.49 × 1,516.45
  4. Step 4: Simplify right side
    5,412.94x = 12,311,239.78
  5. Step 5: Solve for x
    x = 12,311,239.78/5,412.94
  6. Step 6: Final answer
    x = 2,274.41

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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.