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Finding the Fourth Proportional to 5,189.54, 7,790.47 and 4,094.69

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Solution

The fourth proportional to 5,189.54, 7,790.47 and 4,094.69 is: 6,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.54 : 7,790.47 = 4,094.69 : x
  2. Step 2: Convert to fraction form
    5,189.54/7,790.47 = 4,094.69/x
  3. Step 3: Cross multiply
    5,189.54x = 7,790.47 × 4,094.69
  4. Step 4: Simplify right side
    5,189.54x = 31,899,510.42
  5. Step 5: Solve for x
    x = 31,899,510.42/5,189.54
  6. Step 6: Final answer
    x = 6,146.89

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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.