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Finding the Fourth Proportional to 3,522.84, 5,284.64 and 1,214.36

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Solution

The fourth proportional to 3,522.84, 5,284.64 and 1,214.36 is: 1,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.84 : 5,284.64 = 1,214.36 : x
  2. Step 2: Convert to fraction form
    3,522.84/5,284.64 = 1,214.36/x
  3. Step 3: Cross multiply
    3,522.84x = 5,284.64 × 1,214.36
  4. Step 4: Simplify right side
    3,522.84x = 6,417,455.43
  5. Step 5: Solve for x
    x = 6,417,455.43/3,522.84
  6. Step 6: Final answer
    x = 1,821.67

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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.