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Finding the Fourth Proportional to 5,228.40, 7,842.60 and 1,765.60

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Solution

The fourth proportional to 5,228.40, 7,842.60 and 1,765.60 is: 2,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.40 : 7,842.60 = 1,765.60 : x
  2. Step 2: Convert to fraction form
    5,228.40/7,842.60 = 1,765.60/x
  3. Step 3: Cross multiply
    5,228.40x = 7,842.60 × 1,765.60
  4. Step 4: Simplify right side
    5,228.40x = 13,846,894.56
  5. Step 5: Solve for x
    x = 13,846,894.56/5,228.40
  6. Step 6: Final answer
    x = 2,648.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.