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Finding the Fourth Proportional to 4,548.24, 6,821.13 and 1,950.57

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Solution

The fourth proportional to 4,548.24, 6,821.13 and 1,950.57 is: 2,925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.24 : 6,821.13 = 1,950.57 : x
  2. Step 2: Convert to fraction form
    4,548.24/6,821.13 = 1,950.57/x
  3. Step 3: Cross multiply
    4,548.24x = 6,821.13 × 1,950.57
  4. Step 4: Simplify right side
    4,548.24x = 13,305,091.54
  5. Step 5: Solve for x
    x = 13,305,091.54/4,548.24
  6. Step 6: Final answer
    x = 2,925.33

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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.