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Finding the Fourth Proportional to 6,101.60, 9,152.70 and 3,185.60

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Solution

The fourth proportional to 6,101.60, 9,152.70 and 3,185.60 is: 4,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.60 : 9,152.70 = 3,185.60 : x
  2. Step 2: Convert to fraction form
    6,101.60/9,152.70 = 3,185.60/x
  3. Step 3: Cross multiply
    6,101.60x = 9,152.70 × 3,185.60
  4. Step 4: Simplify right side
    6,101.60x = 29,156,841.12
  5. Step 5: Solve for x
    x = 29,156,841.12/6,101.60
  6. Step 6: Final answer
    x = 4,778.56

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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.