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Finding the Fourth Proportional to 4,164.41, 5,744.52 and 2,395.68

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Solution

The fourth proportional to 4,164.41, 5,744.52 and 2,395.68 is: 3,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.41 : 5,744.52 = 2,395.68 : x
  2. Step 2: Convert to fraction form
    4,164.41/5,744.52 = 2,395.68/x
  3. Step 3: Cross multiply
    4,164.41x = 5,744.52 × 2,395.68
  4. Step 4: Simplify right side
    4,164.41x = 13,762,010.13
  5. Step 5: Solve for x
    x = 13,762,010.13/4,164.41
  6. Step 6: Final answer
    x = 3,304.67

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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.