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Finding the Fourth Proportional to 5,636.40, 8,454.60 and 3,886.80

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Solution

The fourth proportional to 5,636.40, 8,454.60 and 3,886.80 is: 5,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.40 : 8,454.60 = 3,886.80 : x
  2. Step 2: Convert to fraction form
    5,636.40/8,454.60 = 3,886.80/x
  3. Step 3: Cross multiply
    5,636.40x = 8,454.60 × 3,886.80
  4. Step 4: Simplify right side
    5,636.40x = 32,861,339.28
  5. Step 5: Solve for x
    x = 32,861,339.28/5,636.40
  6. Step 6: Final answer
    x = 5,830.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.