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Finding the Fourth Proportional to 3,522.04, 5,283.62 and 1,213

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Solution

The fourth proportional to 3,522.04, 5,283.62 and 1,213 is: 1,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.04 : 5,283.62 = 1,213 : x
  2. Step 2: Convert to fraction form
    3,522.04/5,283.62 = 1,213/x
  3. Step 3: Cross multiply
    3,522.04x = 5,283.62 × 1,213
  4. Step 4: Simplify right side
    3,522.04x = 6,409,031.06
  5. Step 5: Solve for x
    x = 6,409,031.06/3,522.04
  6. Step 6: Final answer
    x = 1,819.69

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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.