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Finding the Fourth Proportional to 3,809.60, 5,251.73 and 2,923.86

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Solution

The fourth proportional to 3,809.60, 5,251.73 and 2,923.86 is: 4,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.60 : 5,251.73 = 2,923.86 : x
  2. Step 2: Convert to fraction form
    3,809.60/5,251.73 = 2,923.86/x
  3. Step 3: Cross multiply
    3,809.60x = 5,251.73 × 2,923.86
  4. Step 4: Simplify right side
    3,809.60x = 15,355,308.66
  5. Step 5: Solve for x
    x = 15,355,308.66/3,809.60
  6. Step 6: Final answer
    x = 4,030.69

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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.