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Finding the Fourth Proportional to 3,698.47, 5,101.55 and 2,812.33

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Solution

The fourth proportional to 3,698.47, 5,101.55 and 2,812.33 is: 3,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.47 : 5,101.55 = 2,812.33 : x
  2. Step 2: Convert to fraction form
    3,698.47/5,101.55 = 2,812.33/x
  3. Step 3: Cross multiply
    3,698.47x = 5,101.55 × 2,812.33
  4. Step 4: Simplify right side
    3,698.47x = 14,347,228.05
  5. Step 5: Solve for x
    x = 14,347,228.05/3,698.47
  6. Step 6: Final answer
    x = 3,879.23

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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.