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Finding the Fourth Proportional to 5,114.44, 7,655.16 and 2,645.86

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Solution

The fourth proportional to 5,114.44, 7,655.16 and 2,645.86 is: 3,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.44 : 7,655.16 = 2,645.86 : x
  2. Step 2: Convert to fraction form
    5,114.44/7,655.16 = 2,645.86/x
  3. Step 3: Cross multiply
    5,114.44x = 7,655.16 × 2,645.86
  4. Step 4: Simplify right side
    5,114.44x = 20,254,481.64
  5. Step 5: Solve for x
    x = 20,254,481.64/5,114.44
  6. Step 6: Final answer
    x = 3,960.25

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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.