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Finding the Fourth Proportional to 3,824.90, 5,730.04 and 2,586.23

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Solution

The fourth proportional to 3,824.90, 5,730.04 and 2,586.23 is: 3,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.90 : 5,730.04 = 2,586.23 : x
  2. Step 2: Convert to fraction form
    3,824.90/5,730.04 = 2,586.23/x
  3. Step 3: Cross multiply
    3,824.90x = 5,730.04 × 2,586.23
  4. Step 4: Simplify right side
    3,824.90x = 14,819,201.35
  5. Step 5: Solve for x
    x = 14,819,201.35/3,824.90
  6. Step 6: Final answer
    x = 3,874.40

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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.