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Finding the Fourth Proportional to 3,404.65, 4,698.40 and 1,912.59

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Solution

The fourth proportional to 3,404.65, 4,698.40 and 1,912.59 is: 2,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.65 : 4,698.40 = 1,912.59 : x
  2. Step 2: Convert to fraction form
    3,404.65/4,698.40 = 1,912.59/x
  3. Step 3: Cross multiply
    3,404.65x = 4,698.40 × 1,912.59
  4. Step 4: Simplify right side
    3,404.65x = 8,986,112.86
  5. Step 5: Solve for x
    x = 8,986,112.86/3,404.65
  6. Step 6: Final answer
    x = 2,639.36

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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.