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Finding the Fourth Proportional to 5,726.54, 8,589.26 and 1,829.90

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Solution

The fourth proportional to 5,726.54, 8,589.26 and 1,829.90 is: 2,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.54 : 8,589.26 = 1,829.90 : x
  2. Step 2: Convert to fraction form
    5,726.54/8,589.26 = 1,829.90/x
  3. Step 3: Cross multiply
    5,726.54x = 8,589.26 × 1,829.90
  4. Step 4: Simplify right side
    5,726.54x = 15,717,448.50
  5. Step 5: Solve for x
    x = 15,717,448.50/5,726.54
  6. Step 6: Final answer
    x = 2,744.67

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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.