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Finding the Fourth Proportional to 3,485.65, 5,228.70 and 1,845.40

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Solution

The fourth proportional to 3,485.65, 5,228.70 and 1,845.40 is: 2,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.65 : 5,228.70 = 1,845.40 : x
  2. Step 2: Convert to fraction form
    3,485.65/5,228.70 = 1,845.40/x
  3. Step 3: Cross multiply
    3,485.65x = 5,228.70 × 1,845.40
  4. Step 4: Simplify right side
    3,485.65x = 9,649,042.98
  5. Step 5: Solve for x
    x = 9,649,042.98/3,485.65
  6. Step 6: Final answer
    x = 2,768.22

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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.