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Finding the Fourth Proportional to 4,168, 5,751.84 and 2,305.12

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Solution

The fourth proportional to 4,168, 5,751.84 and 2,305.12 is: 3,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168 : 5,751.84 = 2,305.12 : x
  2. Step 2: Convert to fraction form
    4,168/5,751.84 = 2,305.12/x
  3. Step 3: Cross multiply
    4,168x = 5,751.84 × 2,305.12
  4. Step 4: Simplify right side
    4,168x = 13,258,681.42
  5. Step 5: Solve for x
    x = 13,258,681.42/4,168
  6. Step 6: Final answer
    x = 3,181.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.