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Finding the Fourth Proportional to 5,739.90, 8,604.27 and 1,841.46

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Solution

The fourth proportional to 5,739.90, 8,604.27 and 1,841.46 is: 2,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.90 : 8,604.27 = 1,841.46 : x
  2. Step 2: Convert to fraction form
    5,739.90/8,604.27 = 1,841.46/x
  3. Step 3: Cross multiply
    5,739.90x = 8,604.27 × 1,841.46
  4. Step 4: Simplify right side
    5,739.90x = 15,844,419.03
  5. Step 5: Solve for x
    x = 15,844,419.03/5,739.90
  6. Step 6: Final answer
    x = 2,760.40

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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.