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Finding the Fourth Proportional to 6,071.64, 8,378.91 and 3,418.80

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Solution

The fourth proportional to 6,071.64, 8,378.91 and 3,418.80 is: 4,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.64 : 8,378.91 = 3,418.80 : x
  2. Step 2: Convert to fraction form
    6,071.64/8,378.91 = 3,418.80/x
  3. Step 3: Cross multiply
    6,071.64x = 8,378.91 × 3,418.80
  4. Step 4: Simplify right side
    6,071.64x = 28,645,817.51
  5. Step 5: Solve for x
    x = 28,645,817.51/6,071.64
  6. Step 6: Final answer
    x = 4,717.97

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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.