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Finding the Fourth Proportional to 5,696.60, 8,520.90 and 5,115.80

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Solution

The fourth proportional to 5,696.60, 8,520.90 and 5,115.80 is: 7,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.60 : 8,520.90 = 5,115.80 : x
  2. Step 2: Convert to fraction form
    5,696.60/8,520.90 = 5,115.80/x
  3. Step 3: Cross multiply
    5,696.60x = 8,520.90 × 5,115.80
  4. Step 4: Simplify right side
    5,696.60x = 43,591,220.22
  5. Step 5: Solve for x
    x = 43,591,220.22/5,696.60
  6. Step 6: Final answer
    x = 7,652.15

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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.