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Finding the Fourth Proportional to 4,755.09, 7,133 and 1,292.25

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Solution

The fourth proportional to 4,755.09, 7,133 and 1,292.25 is: 1,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.09 : 7,133 = 1,292.25 : x
  2. Step 2: Convert to fraction form
    4,755.09/7,133 = 1,292.25/x
  3. Step 3: Cross multiply
    4,755.09x = 7,133 × 1,292.25
  4. Step 4: Simplify right side
    4,755.09x = 9,217,619.25
  5. Step 5: Solve for x
    x = 9,217,619.25/4,755.09
  6. Step 6: Final answer
    x = 1,938.47

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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.