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Finding the Fourth Proportional to 4,170.66, 6,256.53 and 1,396.14

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Solution

The fourth proportional to 4,170.66, 6,256.53 and 1,396.14 is: 2,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.66 : 6,256.53 = 1,396.14 : x
  2. Step 2: Convert to fraction form
    4,170.66/6,256.53 = 1,396.14/x
  3. Step 3: Cross multiply
    4,170.66x = 6,256.53 × 1,396.14
  4. Step 4: Simplify right side
    4,170.66x = 8,734,991.79
  5. Step 5: Solve for x
    x = 8,734,991.79/4,170.66
  6. Step 6: Final answer
    x = 2,094.39

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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.