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Finding the Fourth Proportional to 5,172.86, 7,138.94 and 3,184.11

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Solution

The fourth proportional to 5,172.86, 7,138.94 and 3,184.11 is: 4,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.86 : 7,138.94 = 3,184.11 : x
  2. Step 2: Convert to fraction form
    5,172.86/7,138.94 = 3,184.11/x
  3. Step 3: Cross multiply
    5,172.86x = 7,138.94 × 3,184.11
  4. Step 4: Simplify right side
    5,172.86x = 22,731,154.32
  5. Step 5: Solve for x
    x = 22,731,154.32/5,172.86
  6. Step 6: Final answer
    x = 4,394.31

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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.