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Finding the Fourth Proportional to 6,071.60, 8,378.88 and 3,419.04

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Solution

The fourth proportional to 6,071.60, 8,378.88 and 3,419.04 is: 4,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.60 : 8,378.88 = 3,419.04 : x
  2. Step 2: Convert to fraction form
    6,071.60/8,378.88 = 3,419.04/x
  3. Step 3: Cross multiply
    6,071.60x = 8,378.88 × 3,419.04
  4. Step 4: Simplify right side
    6,071.60x = 28,647,725.88
  5. Step 5: Solve for x
    x = 28,647,725.88/6,071.60
  6. Step 6: Final answer
    x = 4,718.32

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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.