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Finding the Fourth Proportional to 6,071.96, 8,378.38 and 3,419.20

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Solution

The fourth proportional to 6,071.96, 8,378.38 and 3,419.20 is: 4,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.96 : 8,378.38 = 3,419.20 : x
  2. Step 2: Convert to fraction form
    6,071.96/8,378.38 = 3,419.20/x
  3. Step 3: Cross multiply
    6,071.96x = 8,378.38 × 3,419.20
  4. Step 4: Simplify right side
    6,071.96x = 28,647,356.90
  5. Step 5: Solve for x
    x = 28,647,356.90/6,071.96
  6. Step 6: Final answer
    x = 4,717.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.