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Finding the Fourth Proportional to 5,141.09, 7,713.68 and 3,062.07

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Solution

The fourth proportional to 5,141.09, 7,713.68 and 3,062.07 is: 4,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.09 : 7,713.68 = 3,062.07 : x
  2. Step 2: Convert to fraction form
    5,141.09/7,713.68 = 3,062.07/x
  3. Step 3: Cross multiply
    5,141.09x = 7,713.68 × 3,062.07
  4. Step 4: Simplify right side
    5,141.09x = 23,619,812.81
  5. Step 5: Solve for x
    x = 23,619,812.81/5,141.09
  6. Step 6: Final answer
    x = 4,594.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.