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Finding the Fourth Proportional to 3,485.16, 5,230.78 and 1,842.89

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Solution

The fourth proportional to 3,485.16, 5,230.78 and 1,842.89 is: 2,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.16 : 5,230.78 = 1,842.89 : x
  2. Step 2: Convert to fraction form
    3,485.16/5,230.78 = 1,842.89/x
  3. Step 3: Cross multiply
    3,485.16x = 5,230.78 × 1,842.89
  4. Step 4: Simplify right side
    3,485.16x = 9,639,721.39
  5. Step 5: Solve for x
    x = 9,639,721.39/3,485.16
  6. Step 6: Final answer
    x = 2,765.93

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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.