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Finding the Fourth Proportional to 4,928.94, 7,393.50 and 2,005.20

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Solution

The fourth proportional to 4,928.94, 7,393.50 and 2,005.20 is: 3,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.94 : 7,393.50 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    4,928.94/7,393.50 = 2,005.20/x
  3. Step 3: Cross multiply
    4,928.94x = 7,393.50 × 2,005.20
  4. Step 4: Simplify right side
    4,928.94x = 14,825,446.20
  5. Step 5: Solve for x
    x = 14,825,446.20/4,928.94
  6. Step 6: Final answer
    x = 3,007.84

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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.