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Finding the Fourth Proportional to 3,743.22, 5,615.25 and 3,055.74

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Solution

The fourth proportional to 3,743.22, 5,615.25 and 3,055.74 is: 4,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.22 : 5,615.25 = 3,055.74 : x
  2. Step 2: Convert to fraction form
    3,743.22/5,615.25 = 3,055.74/x
  3. Step 3: Cross multiply
    3,743.22x = 5,615.25 × 3,055.74
  4. Step 4: Simplify right side
    3,743.22x = 17,158,744.04
  5. Step 5: Solve for x
    x = 17,158,744.04/3,743.22
  6. Step 6: Final answer
    x = 4,583.95

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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.