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Finding the Fourth Proportional to 4,693.45, 6,442.46 and 4,150.43

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Solution

The fourth proportional to 4,693.45, 6,442.46 and 4,150.43 is: 5,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.45 : 6,442.46 = 4,150.43 : x
  2. Step 2: Convert to fraction form
    4,693.45/6,442.46 = 4,150.43/x
  3. Step 3: Cross multiply
    4,693.45x = 6,442.46 × 4,150.43
  4. Step 4: Simplify right side
    4,693.45x = 26,738,974.61
  5. Step 5: Solve for x
    x = 26,738,974.61/4,693.45
  6. Step 6: Final answer
    x = 5,697.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.