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Finding the Fourth Proportional to 5,536.97, 7,641.01 and 3,019.08

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Solution

The fourth proportional to 5,536.97, 7,641.01 and 3,019.08 is: 4,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.97 : 7,641.01 = 3,019.08 : x
  2. Step 2: Convert to fraction form
    5,536.97/7,641.01 = 3,019.08/x
  3. Step 3: Cross multiply
    5,536.97x = 7,641.01 × 3,019.08
  4. Step 4: Simplify right side
    5,536.97x = 23,068,812.92
  5. Step 5: Solve for x
    x = 23,068,812.92/5,536.97
  6. Step 6: Final answer
    x = 4,166.33

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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.