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Finding the Fourth Proportional to 4,154.67, 6,233.06 and 3,415.49

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Solution

The fourth proportional to 4,154.67, 6,233.06 and 3,415.49 is: 5,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.67 : 6,233.06 = 3,415.49 : x
  2. Step 2: Convert to fraction form
    4,154.67/6,233.06 = 3,415.49/x
  3. Step 3: Cross multiply
    4,154.67x = 6,233.06 × 3,415.49
  4. Step 4: Simplify right side
    4,154.67x = 21,288,978.22
  5. Step 5: Solve for x
    x = 21,288,978.22/4,154.67
  6. Step 6: Final answer
    x = 5,124.11

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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.