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Finding the Fourth Proportional to 5,462.24, 7,537.64 and 3,104.60

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Solution

The fourth proportional to 5,462.24, 7,537.64 and 3,104.60 is: 4,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.24 : 7,537.64 = 3,104.60 : x
  2. Step 2: Convert to fraction form
    5,462.24/7,537.64 = 3,104.60/x
  3. Step 3: Cross multiply
    5,462.24x = 7,537.64 × 3,104.60
  4. Step 4: Simplify right side
    5,462.24x = 23,401,303.93
  5. Step 5: Solve for x
    x = 23,401,303.93/5,462.24
  6. Step 6: Final answer
    x = 4,284.20

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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.