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Finding the Fourth Proportional to 5,930.97, 8,178.62 and 5,094.45

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Solution

The fourth proportional to 5,930.97, 8,178.62 and 5,094.45 is: 7,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.97 : 8,178.62 = 5,094.45 : x
  2. Step 2: Convert to fraction form
    5,930.97/8,178.62 = 5,094.45/x
  3. Step 3: Cross multiply
    5,930.97x = 8,178.62 × 5,094.45
  4. Step 4: Simplify right side
    5,930.97x = 41,665,545.19
  5. Step 5: Solve for x
    x = 41,665,545.19/5,930.97
  6. Step 6: Final answer
    x = 7,025.08

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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.