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Finding the Fourth Proportional to 5,033.64, 7,538.58 and 2,949.24

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Solution

The fourth proportional to 5,033.64, 7,538.58 and 2,949.24 is: 4,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.64 : 7,538.58 = 2,949.24 : x
  2. Step 2: Convert to fraction form
    5,033.64/7,538.58 = 2,949.24/x
  3. Step 3: Cross multiply
    5,033.64x = 7,538.58 × 2,949.24
  4. Step 4: Simplify right side
    5,033.64x = 22,233,081.68
  5. Step 5: Solve for x
    x = 22,233,081.68/5,033.64
  6. Step 6: Final answer
    x = 4,416.90

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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.