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Finding the Fourth Proportional to 3,888.80, 5,832.39 and 1,256.53

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Solution

The fourth proportional to 3,888.80, 5,832.39 and 1,256.53 is: 1,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.80 : 5,832.39 = 1,256.53 : x
  2. Step 2: Convert to fraction form
    3,888.80/5,832.39 = 1,256.53/x
  3. Step 3: Cross multiply
    3,888.80x = 5,832.39 × 1,256.53
  4. Step 4: Simplify right side
    3,888.80x = 7,328,573.01
  5. Step 5: Solve for x
    x = 7,328,573.01/3,888.80
  6. Step 6: Final answer
    x = 1,884.53

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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.