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Finding the Fourth Proportional to 4,755.67, 7,134.63 and 1,468.81

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Solution

The fourth proportional to 4,755.67, 7,134.63 and 1,468.81 is: 2,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.67 : 7,134.63 = 1,468.81 : x
  2. Step 2: Convert to fraction form
    4,755.67/7,134.63 = 1,468.81/x
  3. Step 3: Cross multiply
    4,755.67x = 7,134.63 × 1,468.81
  4. Step 4: Simplify right side
    4,755.67x = 10,479,415.89
  5. Step 5: Solve for x
    x = 10,479,415.89/4,755.67
  6. Step 6: Final answer
    x = 2,203.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.