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Finding the Fourth Proportional to 3,524.96, 5,284.74 and 2,045

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Solution

The fourth proportional to 3,524.96, 5,284.74 and 2,045 is: 3,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.96 : 5,284.74 = 2,045 : x
  2. Step 2: Convert to fraction form
    3,524.96/5,284.74 = 2,045/x
  3. Step 3: Cross multiply
    3,524.96x = 5,284.74 × 2,045
  4. Step 4: Simplify right side
    3,524.96x = 10,807,293.30
  5. Step 5: Solve for x
    x = 10,807,293.30/3,524.96
  6. Step 6: Final answer
    x = 3,065.93

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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.