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Finding the Fourth Proportional to 5,181.45, 7,770.20 and 1,670.57

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Solution

The fourth proportional to 5,181.45, 7,770.20 and 1,670.57 is: 2,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.45 : 7,770.20 = 1,670.57 : x
  2. Step 2: Convert to fraction form
    5,181.45/7,770.20 = 1,670.57/x
  3. Step 3: Cross multiply
    5,181.45x = 7,770.20 × 1,670.57
  4. Step 4: Simplify right side
    5,181.45x = 12,980,615.81
  5. Step 5: Solve for x
    x = 12,980,615.81/5,181.45
  6. Step 6: Final answer
    x = 2,505.21

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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.