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Finding the Fourth Proportional to 5,826, 8,740.48 and 1,722

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Solution

The fourth proportional to 5,826, 8,740.48 and 1,722 is: 2,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826 : 8,740.48 = 1,722 : x
  2. Step 2: Convert to fraction form
    5,826/8,740.48 = 1,722/x
  3. Step 3: Cross multiply
    5,826x = 8,740.48 × 1,722
  4. Step 4: Simplify right side
    5,826x = 15,051,106.56
  5. Step 5: Solve for x
    x = 15,051,106.56/5,826
  6. Step 6: Final answer
    x = 2,583.44

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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.