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Finding the Fourth Proportional to 3,743.63, 5,615.37 and 1,146.50

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Solution

The fourth proportional to 3,743.63, 5,615.37 and 1,146.50 is: 1,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.63 : 5,615.37 = 1,146.50 : x
  2. Step 2: Convert to fraction form
    3,743.63/5,615.37 = 1,146.50/x
  3. Step 3: Cross multiply
    3,743.63x = 5,615.37 × 1,146.50
  4. Step 4: Simplify right side
    3,743.63x = 6,438,014.69
  5. Step 5: Solve for x
    x = 6,438,014.69/3,743.63
  6. Step 6: Final answer
    x = 1,719.73

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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.