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Finding the Fourth Proportional to 4,021.56, 6,034.68 and 1,713

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Solution

The fourth proportional to 4,021.56, 6,034.68 and 1,713 is: 2,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021.56 : 6,034.68 = 1,713 : x
  2. Step 2: Convert to fraction form
    4,021.56/6,034.68 = 1,713/x
  3. Step 3: Cross multiply
    4,021.56x = 6,034.68 × 1,713
  4. Step 4: Simplify right side
    4,021.56x = 10,337,406.84
  5. Step 5: Solve for x
    x = 10,337,406.84/4,021.56
  6. Step 6: Final answer
    x = 2,570.50

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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.