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Finding the Fourth Proportional to 5,931.26, 8,184.30 and 3,412.41

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Solution

The fourth proportional to 5,931.26, 8,184.30 and 3,412.41 is: 4,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.26 : 8,184.30 = 3,412.41 : x
  2. Step 2: Convert to fraction form
    5,931.26/8,184.30 = 3,412.41/x
  3. Step 3: Cross multiply
    5,931.26x = 8,184.30 × 3,412.41
  4. Step 4: Simplify right side
    5,931.26x = 27,928,187.16
  5. Step 5: Solve for x
    x = 27,928,187.16/5,931.26
  6. Step 6: Final answer
    x = 4,708.64

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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.