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Finding the Fourth Proportional to 4,024.50, 6,029.08 and 1,938.34

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Solution

The fourth proportional to 4,024.50, 6,029.08 and 1,938.34 is: 2,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024.50 : 6,029.08 = 1,938.34 : x
  2. Step 2: Convert to fraction form
    4,024.50/6,029.08 = 1,938.34/x
  3. Step 3: Cross multiply
    4,024.50x = 6,029.08 × 1,938.34
  4. Step 4: Simplify right side
    4,024.50x = 11,686,406.93
  5. Step 5: Solve for x
    x = 11,686,406.93/4,024.50
  6. Step 6: Final answer
    x = 2,903.82

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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.