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Finding the Fourth Proportional to 3,888.97, 5,832.37 and 1,291.93

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Solution

The fourth proportional to 3,888.97, 5,832.37 and 1,291.93 is: 1,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.97 : 5,832.37 = 1,291.93 : x
  2. Step 2: Convert to fraction form
    3,888.97/5,832.37 = 1,291.93/x
  3. Step 3: Cross multiply
    3,888.97x = 5,832.37 × 1,291.93
  4. Step 4: Simplify right side
    3,888.97x = 7,535,013.77
  5. Step 5: Solve for x
    x = 7,535,013.77/3,888.97
  6. Step 6: Final answer
    x = 1,937.53

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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.