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Finding the Fourth Proportional to 3,485.65, 4,809.21 and 2,698.33

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Solution

The fourth proportional to 3,485.65, 4,809.21 and 2,698.33 is: 3,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.65 : 4,809.21 = 2,698.33 : x
  2. Step 2: Convert to fraction form
    3,485.65/4,809.21 = 2,698.33/x
  3. Step 3: Cross multiply
    3,485.65x = 4,809.21 × 2,698.33
  4. Step 4: Simplify right side
    3,485.65x = 12,976,835.62
  5. Step 5: Solve for x
    x = 12,976,835.62/3,485.65
  6. Step 6: Final answer
    x = 3,722.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.