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Finding the Fourth Proportional to 3,783.66, 5,676.40 and 1,186.60

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Solution

The fourth proportional to 3,783.66, 5,676.40 and 1,186.60 is: 1,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.66 : 5,676.40 = 1,186.60 : x
  2. Step 2: Convert to fraction form
    3,783.66/5,676.40 = 1,186.60/x
  3. Step 3: Cross multiply
    3,783.66x = 5,676.40 × 1,186.60
  4. Step 4: Simplify right side
    3,783.66x = 6,735,599.08
  5. Step 5: Solve for x
    x = 6,735,599.08/3,783.66
  6. Step 6: Final answer
    x = 1,780.18

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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.