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Finding the Fourth Proportional to 3,932.93, 5,427.57 and 2,164.67

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Solution

The fourth proportional to 3,932.93, 5,427.57 and 2,164.67 is: 2,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.93 : 5,427.57 = 2,164.67 : x
  2. Step 2: Convert to fraction form
    3,932.93/5,427.57 = 2,164.67/x
  3. Step 3: Cross multiply
    3,932.93x = 5,427.57 × 2,164.67
  4. Step 4: Simplify right side
    3,932.93x = 11,748,897.95
  5. Step 5: Solve for x
    x = 11,748,897.95/3,932.93
  6. Step 6: Final answer
    x = 2,987.31

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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.