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Finding the Fourth Proportional to 3,509.60, 4,843.25 and 2,017.81

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Solution

The fourth proportional to 3,509.60, 4,843.25 and 2,017.81 is: 2,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.60 : 4,843.25 = 2,017.81 : x
  2. Step 2: Convert to fraction form
    3,509.60/4,843.25 = 2,017.81/x
  3. Step 3: Cross multiply
    3,509.60x = 4,843.25 × 2,017.81
  4. Step 4: Simplify right side
    3,509.60x = 9,772,736.09
  5. Step 5: Solve for x
    x = 9,772,736.09/3,509.60
  6. Step 6: Final answer
    x = 2,784.57

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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.