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Finding the Fourth Proportional to 3,389.72, 5,080.91 and 1,829.66

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Solution

The fourth proportional to 3,389.72, 5,080.91 and 1,829.66 is: 2,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.72 : 5,080.91 = 1,829.66 : x
  2. Step 2: Convert to fraction form
    3,389.72/5,080.91 = 1,829.66/x
  3. Step 3: Cross multiply
    3,389.72x = 5,080.91 × 1,829.66
  4. Step 4: Simplify right side
    3,389.72x = 9,296,303.24
  5. Step 5: Solve for x
    x = 9,296,303.24/3,389.72
  6. Step 6: Final answer
    x = 2,742.50

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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.