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Finding the Fourth Proportional to 5,172.51, 7,138.10 and 2,814.67

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Solution

The fourth proportional to 5,172.51, 7,138.10 and 2,814.67 is: 3,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.51 : 7,138.10 = 2,814.67 : x
  2. Step 2: Convert to fraction form
    5,172.51/7,138.10 = 2,814.67/x
  3. Step 3: Cross multiply
    5,172.51x = 7,138.10 × 2,814.67
  4. Step 4: Simplify right side
    5,172.51x = 20,091,346.16
  5. Step 5: Solve for x
    x = 20,091,346.16/5,172.51
  6. Step 6: Final answer
    x = 3,884.25

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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.