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Finding the Fourth Proportional to 4,168, 5,752.02 and 2,305

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Solution

The fourth proportional to 4,168, 5,752.02 and 2,305 is: 3,181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168 : 5,752.02 = 2,305 : x
  2. Step 2: Convert to fraction form
    4,168/5,752.02 = 2,305/x
  3. Step 3: Cross multiply
    4,168x = 5,752.02 × 2,305
  4. Step 4: Simplify right side
    4,168x = 13,258,406.10
  5. Step 5: Solve for x
    x = 13,258,406.10/4,168
  6. Step 6: Final answer
    x = 3,181.00

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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.