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Finding the Fourth Proportional to 5,542.51, 7,648.74 and 3,305.69

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Solution

The fourth proportional to 5,542.51, 7,648.74 and 3,305.69 is: 4,561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.51 : 7,648.74 = 3,305.69 : x
  2. Step 2: Convert to fraction form
    5,542.51/7,648.74 = 3,305.69/x
  3. Step 3: Cross multiply
    5,542.51x = 7,648.74 × 3,305.69
  4. Step 4: Simplify right side
    5,542.51x = 25,284,325.09
  5. Step 5: Solve for x
    x = 25,284,325.09/5,542.51
  6. Step 6: Final answer
    x = 4,561.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.