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Finding the Fourth Proportional to 5,076.42, 7,003.26 and 3,186.72

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Solution

The fourth proportional to 5,076.42, 7,003.26 and 3,186.72 is: 4,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.42 : 7,003.26 = 3,186.72 : x
  2. Step 2: Convert to fraction form
    5,076.42/7,003.26 = 3,186.72/x
  3. Step 3: Cross multiply
    5,076.42x = 7,003.26 × 3,186.72
  4. Step 4: Simplify right side
    5,076.42x = 22,317,428.71
  5. Step 5: Solve for x
    x = 22,317,428.71/5,076.42
  6. Step 6: Final answer
    x = 4,396.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.