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Finding the Fourth Proportional to 4,928.32, 7,389.24 and 2,005.84

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Solution

The fourth proportional to 4,928.32, 7,389.24 and 2,005.84 is: 3,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.32 : 7,389.24 = 2,005.84 : x
  2. Step 2: Convert to fraction form
    4,928.32/7,389.24 = 2,005.84/x
  3. Step 3: Cross multiply
    4,928.32x = 7,389.24 × 2,005.84
  4. Step 4: Simplify right side
    4,928.32x = 14,821,633.16
  5. Step 5: Solve for x
    x = 14,821,633.16/4,928.32
  6. Step 6: Final answer
    x = 3,007.44

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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.