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Finding the Fourth Proportional to 5,230.84, 7,846.26 and 1,768

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Solution

The fourth proportional to 5,230.84, 7,846.26 and 1,768 is: 2,652

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.84 : 7,846.26 = 1,768 : x
  2. Step 2: Convert to fraction form
    5,230.84/7,846.26 = 1,768/x
  3. Step 3: Cross multiply
    5,230.84x = 7,846.26 × 1,768
  4. Step 4: Simplify right side
    5,230.84x = 13,872,187.68
  5. Step 5: Solve for x
    x = 13,872,187.68/5,230.84
  6. Step 6: Final answer
    x = 2,652

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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.