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Finding the Fourth Proportional to 5,252.64, 7,872.30 and 2,473.26

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Solution

The fourth proportional to 5,252.64, 7,872.30 and 2,473.26 is: 3,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.64 : 7,872.30 = 2,473.26 : x
  2. Step 2: Convert to fraction form
    5,252.64/7,872.30 = 2,473.26/x
  3. Step 3: Cross multiply
    5,252.64x = 7,872.30 × 2,473.26
  4. Step 4: Simplify right side
    5,252.64x = 19,470,244.70
  5. Step 5: Solve for x
    x = 19,470,244.70/5,252.64
  6. Step 6: Final answer
    x = 3,706.75

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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.