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Finding the Fourth Proportional to 5,230.36, 7,844.98 and 1,767.16

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Solution

The fourth proportional to 5,230.36, 7,844.98 and 1,767.16 is: 2,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.36 : 7,844.98 = 1,767.16 : x
  2. Step 2: Convert to fraction form
    5,230.36/7,844.98 = 1,767.16/x
  3. Step 3: Cross multiply
    5,230.36x = 7,844.98 × 1,767.16
  4. Step 4: Simplify right side
    5,230.36x = 13,863,334.86
  5. Step 5: Solve for x
    x = 13,863,334.86/5,230.36
  6. Step 6: Final answer
    x = 2,650.55

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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.