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Finding the Fourth Proportional to 6,021.37, 9,031.02 and 1,639.18

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Solution

The fourth proportional to 6,021.37, 9,031.02 and 1,639.18 is: 2,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.37 : 9,031.02 = 1,639.18 : x
  2. Step 2: Convert to fraction form
    6,021.37/9,031.02 = 1,639.18/x
  3. Step 3: Cross multiply
    6,021.37x = 9,031.02 × 1,639.18
  4. Step 4: Simplify right side
    6,021.37x = 14,803,467.36
  5. Step 5: Solve for x
    x = 14,803,467.36/6,021.37
  6. Step 6: Final answer
    x = 2,458.49

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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.