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Finding the Fourth Proportional to 5,226.84, 7,839 and 1,529.16

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Solution

The fourth proportional to 5,226.84, 7,839 and 1,529.16 is: 2,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.84 : 7,839 = 1,529.16 : x
  2. Step 2: Convert to fraction form
    5,226.84/7,839 = 1,529.16/x
  3. Step 3: Cross multiply
    5,226.84x = 7,839 × 1,529.16
  4. Step 4: Simplify right side
    5,226.84x = 11,987,085.24
  5. Step 5: Solve for x
    x = 11,987,085.24/5,226.84
  6. Step 6: Final answer
    x = 2,293.37

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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.