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Finding the Fourth Proportional to 5,228.34, 7,843.68 and 1,765.50

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Solution

The fourth proportional to 5,228.34, 7,843.68 and 1,765.50 is: 2,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.34 : 7,843.68 = 1,765.50 : x
  2. Step 2: Convert to fraction form
    5,228.34/7,843.68 = 1,765.50/x
  3. Step 3: Cross multiply
    5,228.34x = 7,843.68 × 1,765.50
  4. Step 4: Simplify right side
    5,228.34x = 13,848,017.04
  5. Step 5: Solve for x
    x = 13,848,017.04/5,228.34
  6. Step 6: Final answer
    x = 2,648.65

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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.