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Finding the Fourth Proportional to 3,416.06, 4,713.86 and 1,923.94

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Solution

The fourth proportional to 3,416.06, 4,713.86 and 1,923.94 is: 2,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.06 : 4,713.86 = 1,923.94 : x
  2. Step 2: Convert to fraction form
    3,416.06/4,713.86 = 1,923.94/x
  3. Step 3: Cross multiply
    3,416.06x = 4,713.86 × 1,923.94
  4. Step 4: Simplify right side
    3,416.06x = 9,069,183.81
  5. Step 5: Solve for x
    x = 9,069,183.81/3,416.06
  6. Step 6: Final answer
    x = 2,654.87

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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.