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Finding the Fourth Proportional to 3,500.41, 5,235.12 and 3,113.14

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Solution

The fourth proportional to 3,500.41, 5,235.12 and 3,113.14 is: 4,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.41 : 5,235.12 = 3,113.14 : x
  2. Step 2: Convert to fraction form
    3,500.41/5,235.12 = 3,113.14/x
  3. Step 3: Cross multiply
    3,500.41x = 5,235.12 × 3,113.14
  4. Step 4: Simplify right side
    3,500.41x = 16,297,661.48
  5. Step 5: Solve for x
    x = 16,297,661.48/3,500.41
  6. Step 6: Final answer
    x = 4,655.93

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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.