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Finding the Fourth Proportional to 5,279.42, 7,914.26 and 4,842.02

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Solution

The fourth proportional to 5,279.42, 7,914.26 and 4,842.02 is: 7,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.42 : 7,914.26 = 4,842.02 : x
  2. Step 2: Convert to fraction form
    5,279.42/7,914.26 = 4,842.02/x
  3. Step 3: Cross multiply
    5,279.42x = 7,914.26 × 4,842.02
  4. Step 4: Simplify right side
    5,279.42x = 38,321,005.21
  5. Step 5: Solve for x
    x = 38,321,005.21/5,279.42
  6. Step 6: Final answer
    x = 7,258.56

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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.