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Finding the Fourth Proportional to 3,407.56, 5,103.60 and 3,013.48

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Solution

The fourth proportional to 3,407.56, 5,103.60 and 3,013.48 is: 4,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.56 : 5,103.60 = 3,013.48 : x
  2. Step 2: Convert to fraction form
    3,407.56/5,103.60 = 3,013.48/x
  3. Step 3: Cross multiply
    3,407.56x = 5,103.60 × 3,013.48
  4. Step 4: Simplify right side
    3,407.56x = 15,379,596.53
  5. Step 5: Solve for x
    x = 15,379,596.53/3,407.56
  6. Step 6: Final answer
    x = 4,513.38

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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.