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Finding the Fourth Proportional to 5,226.94, 7,839.54 and 1,716.94

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Solution

The fourth proportional to 5,226.94, 7,839.54 and 1,716.94 is: 2,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.94 : 7,839.54 = 1,716.94 : x
  2. Step 2: Convert to fraction form
    5,226.94/7,839.54 = 1,716.94/x
  3. Step 3: Cross multiply
    5,226.94x = 7,839.54 × 1,716.94
  4. Step 4: Simplify right side
    5,226.94x = 13,460,019.81
  5. Step 5: Solve for x
    x = 13,460,019.81/5,226.94
  6. Step 6: Final answer
    x = 2,575.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.