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Finding the Fourth Proportional to 5,419.98, 8,128.14 and 1,523.46

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Solution

The fourth proportional to 5,419.98, 8,128.14 and 1,523.46 is: 2,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.98 : 8,128.14 = 1,523.46 : x
  2. Step 2: Convert to fraction form
    5,419.98/8,128.14 = 1,523.46/x
  3. Step 3: Cross multiply
    5,419.98x = 8,128.14 × 1,523.46
  4. Step 4: Simplify right side
    5,419.98x = 12,382,896.16
  5. Step 5: Solve for x
    x = 12,382,896.16/5,419.98
  6. Step 6: Final answer
    x = 2,284.68

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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.