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Finding the Fourth Proportional to 3,523.59, 5,284.98 and 1,442.16

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Solution

The fourth proportional to 3,523.59, 5,284.98 and 1,442.16 is: 2,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.59 : 5,284.98 = 1,442.16 : x
  2. Step 2: Convert to fraction form
    3,523.59/5,284.98 = 1,442.16/x
  3. Step 3: Cross multiply
    3,523.59x = 5,284.98 × 1,442.16
  4. Step 4: Simplify right side
    3,523.59x = 7,621,786.76
  5. Step 5: Solve for x
    x = 7,621,786.76/3,523.59
  6. Step 6: Final answer
    x = 2,163.07

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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.