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Finding the Fourth Proportional to 5,286.51, 7,927.49 and 2,164.58

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Solution

The fourth proportional to 5,286.51, 7,927.49 and 2,164.58 is: 3,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.51 : 7,927.49 = 2,164.58 : x
  2. Step 2: Convert to fraction form
    5,286.51/7,927.49 = 2,164.58/x
  3. Step 3: Cross multiply
    5,286.51x = 7,927.49 × 2,164.58
  4. Step 4: Simplify right side
    5,286.51x = 17,159,635.84
  5. Step 5: Solve for x
    x = 17,159,635.84/5,286.51
  6. Step 6: Final answer
    x = 3,245.93

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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.