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Finding the Fourth Proportional to 5,523.74, 8,284.41 and 1,825.10

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Solution

The fourth proportional to 5,523.74, 8,284.41 and 1,825.10 is: 2,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.74 : 8,284.41 = 1,825.10 : x
  2. Step 2: Convert to fraction form
    5,523.74/8,284.41 = 1,825.10/x
  3. Step 3: Cross multiply
    5,523.74x = 8,284.41 × 1,825.10
  4. Step 4: Simplify right side
    5,523.74x = 15,119,835.27
  5. Step 5: Solve for x
    x = 15,119,835.27/5,523.74
  6. Step 6: Final answer
    x = 2,737.25

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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.