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Finding the Fourth Proportional to 3,826.62, 5,741.55 and 1,488.26

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Solution

The fourth proportional to 3,826.62, 5,741.55 and 1,488.26 is: 2,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.62 : 5,741.55 = 1,488.26 : x
  2. Step 2: Convert to fraction form
    3,826.62/5,741.55 = 1,488.26/x
  3. Step 3: Cross multiply
    3,826.62x = 5,741.55 × 1,488.26
  4. Step 4: Simplify right side
    3,826.62x = 8,544,890.50
  5. Step 5: Solve for x
    x = 8,544,890.50/3,826.62
  6. Step 6: Final answer
    x = 2,233.01

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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.