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Finding the Fourth Proportional to 5,094.48, 7,633.08 and 4,057.68

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Solution

The fourth proportional to 5,094.48, 7,633.08 and 4,057.68 is: 6,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.48 : 7,633.08 = 4,057.68 : x
  2. Step 2: Convert to fraction form
    5,094.48/7,633.08 = 4,057.68/x
  3. Step 3: Cross multiply
    5,094.48x = 7,633.08 × 4,057.68
  4. Step 4: Simplify right side
    5,094.48x = 30,972,596.05
  5. Step 5: Solve for x
    x = 30,972,596.05/5,094.48
  6. Step 6: Final answer
    x = 6,079.64

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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.