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Finding the Fourth Proportional to 5,053.54, 6,974.39 and 3,065.50

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Solution

The fourth proportional to 5,053.54, 6,974.39 and 3,065.50 is: 4,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.54 : 6,974.39 = 3,065.50 : x
  2. Step 2: Convert to fraction form
    5,053.54/6,974.39 = 3,065.50/x
  3. Step 3: Cross multiply
    5,053.54x = 6,974.39 × 3,065.50
  4. Step 4: Simplify right side
    5,053.54x = 21,379,992.55
  5. Step 5: Solve for x
    x = 21,379,992.55/5,053.54
  6. Step 6: Final answer
    x = 4,230.70

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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.