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Finding the Fourth Proportional to 5,033.20, 7,549.92 and 1,914.72

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Solution

The fourth proportional to 5,033.20, 7,549.92 and 1,914.72 is: 2,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.20 : 7,549.92 = 1,914.72 : x
  2. Step 2: Convert to fraction form
    5,033.20/7,549.92 = 1,914.72/x
  3. Step 3: Cross multiply
    5,033.20x = 7,549.92 × 1,914.72
  4. Step 4: Simplify right side
    5,033.20x = 14,455,982.82
  5. Step 5: Solve for x
    x = 14,455,982.82/5,033.20
  6. Step 6: Final answer
    x = 2,872.13

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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.