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Finding the Fourth Proportional to 4,017, 6,023.10 and 1,674.18

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Solution

The fourth proportional to 4,017, 6,023.10 and 1,674.18 is: 2,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017 : 6,023.10 = 1,674.18 : x
  2. Step 2: Convert to fraction form
    4,017/6,023.10 = 1,674.18/x
  3. Step 3: Cross multiply
    4,017x = 6,023.10 × 1,674.18
  4. Step 4: Simplify right side
    4,017x = 10,083,753.56
  5. Step 5: Solve for x
    x = 10,083,753.56/4,017
  6. Step 6: Final answer
    x = 2,510.27

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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.