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Finding the Fourth Proportional to 3,185.96, 4,382.64 and 3,004.52

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Solution

The fourth proportional to 3,185.96, 4,382.64 and 3,004.52 is: 4,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.96 : 4,382.64 = 3,004.52 : x
  2. Step 2: Convert to fraction form
    3,185.96/4,382.64 = 3,004.52/x
  3. Step 3: Cross multiply
    3,185.96x = 4,382.64 × 3,004.52
  4. Step 4: Simplify right side
    3,185.96x = 13,167,707.62
  5. Step 5: Solve for x
    x = 13,167,707.62/3,185.96
  6. Step 6: Final answer
    x = 4,133.05

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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.