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Finding the Fourth Proportional to 5,114.14, 7,655.28 and 3,941.10

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Solution

The fourth proportional to 5,114.14, 7,655.28 and 3,941.10 is: 5,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.14 : 7,655.28 = 3,941.10 : x
  2. Step 2: Convert to fraction form
    5,114.14/7,655.28 = 3,941.10/x
  3. Step 3: Cross multiply
    5,114.14x = 7,655.28 × 3,941.10
  4. Step 4: Simplify right side
    5,114.14x = 30,170,224.01
  5. Step 5: Solve for x
    x = 30,170,224.01/5,114.14
  6. Step 6: Final answer
    x = 5,899.37

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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.