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Finding the Fourth Proportional to 5,460.15, 7,532.64 and 3,469.64

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Solution

The fourth proportional to 5,460.15, 7,532.64 and 3,469.64 is: 4,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.15 : 7,532.64 = 3,469.64 : x
  2. Step 2: Convert to fraction form
    5,460.15/7,532.64 = 3,469.64/x
  3. Step 3: Cross multiply
    5,460.15x = 7,532.64 × 3,469.64
  4. Step 4: Simplify right side
    5,460.15x = 26,135,567.88
  5. Step 5: Solve for x
    x = 26,135,567.88/5,460.15
  6. Step 6: Final answer
    x = 4,786.60

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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.