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Finding the Fourth Proportional to 3,652.89, 5,478.66 and 1,186.98

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Solution

The fourth proportional to 3,652.89, 5,478.66 and 1,186.98 is: 1,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.89 : 5,478.66 = 1,186.98 : x
  2. Step 2: Convert to fraction form
    3,652.89/5,478.66 = 1,186.98/x
  3. Step 3: Cross multiply
    3,652.89x = 5,478.66 × 1,186.98
  4. Step 4: Simplify right side
    3,652.89x = 6,503,059.85
  5. Step 5: Solve for x
    x = 6,503,059.85/3,652.89
  6. Step 6: Final answer
    x = 1,780.25

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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.