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Finding the Fourth Proportional to 5,744.22, 8,615.22 and 1,583.16

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Solution

The fourth proportional to 5,744.22, 8,615.22 and 1,583.16 is: 2,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.22 : 8,615.22 = 1,583.16 : x
  2. Step 2: Convert to fraction form
    5,744.22/8,615.22 = 1,583.16/x
  3. Step 3: Cross multiply
    5,744.22x = 8,615.22 × 1,583.16
  4. Step 4: Simplify right side
    5,744.22x = 13,639,271.70
  5. Step 5: Solve for x
    x = 13,639,271.70/5,744.22
  6. Step 6: Final answer
    x = 2,374.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.