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Finding the Fourth Proportional to 6,071.68, 8,378.90 and 3,419.12

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Solution

The fourth proportional to 6,071.68, 8,378.90 and 3,419.12 is: 4,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.68 : 8,378.90 = 3,419.12 : x
  2. Step 2: Convert to fraction form
    6,071.68/8,378.90 = 3,419.12/x
  3. Step 3: Cross multiply
    6,071.68x = 8,378.90 × 3,419.12
  4. Step 4: Simplify right side
    6,071.68x = 28,648,464.57
  5. Step 5: Solve for x
    x = 28,648,464.57/6,071.68
  6. Step 6: Final answer
    x = 4,718.38

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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.