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Finding the Fourth Proportional to 4,924.91, 7,385.21 and 1,844.75

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Solution

The fourth proportional to 4,924.91, 7,385.21 and 1,844.75 is: 2,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.91 : 7,385.21 = 1,844.75 : x
  2. Step 2: Convert to fraction form
    4,924.91/7,385.21 = 1,844.75/x
  3. Step 3: Cross multiply
    4,924.91x = 7,385.21 × 1,844.75
  4. Step 4: Simplify right side
    4,924.91x = 13,623,856.92
  5. Step 5: Solve for x
    x = 13,623,856.92/4,924.91
  6. Step 6: Final answer
    x = 2,766.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.