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Finding the Fourth Proportional to 3,522.84, 5,284.44 and 1,790.16

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Solution

The fourth proportional to 3,522.84, 5,284.44 and 1,790.16 is: 2,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.84 : 5,284.44 = 1,790.16 : x
  2. Step 2: Convert to fraction form
    3,522.84/5,284.44 = 1,790.16/x
  3. Step 3: Cross multiply
    3,522.84x = 5,284.44 × 1,790.16
  4. Step 4: Simplify right side
    3,522.84x = 9,459,993.11
  5. Step 5: Solve for x
    x = 9,459,993.11/3,522.84
  6. Step 6: Final answer
    x = 2,685.33

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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.