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Finding the Fourth Proportional to 4,161.97, 5,744.10 and 2,393.56

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Solution

The fourth proportional to 4,161.97, 5,744.10 and 2,393.56 is: 3,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.97 : 5,744.10 = 2,393.56 : x
  2. Step 2: Convert to fraction form
    4,161.97/5,744.10 = 2,393.56/x
  3. Step 3: Cross multiply
    4,161.97x = 5,744.10 × 2,393.56
  4. Step 4: Simplify right side
    4,161.97x = 13,748,848.00
  5. Step 5: Solve for x
    x = 13,748,848.00/4,161.97
  6. Step 6: Final answer
    x = 3,303.45

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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.