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Finding the Fourth Proportional to 4,693.37, 6,470.17 and 3,199.37

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Solution

The fourth proportional to 4,693.37, 6,470.17 and 3,199.37 is: 4,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.37 : 6,470.17 = 3,199.37 : x
  2. Step 2: Convert to fraction form
    4,693.37/6,470.17 = 3,199.37/x
  3. Step 3: Cross multiply
    4,693.37x = 6,470.17 × 3,199.37
  4. Step 4: Simplify right side
    4,693.37x = 20,700,427.44
  5. Step 5: Solve for x
    x = 20,700,427.44/4,693.37
  6. Step 6: Final answer
    x = 4,410.57

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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.