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Finding the Fourth Proportional to 5,461.94, 7,537.20 and 3,104.84

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Solution

The fourth proportional to 5,461.94, 7,537.20 and 3,104.84 is: 4,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.94 : 7,537.20 = 3,104.84 : x
  2. Step 2: Convert to fraction form
    5,461.94/7,537.20 = 3,104.84/x
  3. Step 3: Cross multiply
    5,461.94x = 7,537.20 × 3,104.84
  4. Step 4: Simplify right side
    5,461.94x = 23,401,800.05
  5. Step 5: Solve for x
    x = 23,401,800.05/5,461.94
  6. Step 6: Final answer
    x = 4,284.52

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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.