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Finding the Fourth Proportional to 5,460.64, 8,186.04 and 2,173

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Solution

The fourth proportional to 5,460.64, 8,186.04 and 2,173 is: 3,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.64 : 8,186.04 = 2,173 : x
  2. Step 2: Convert to fraction form
    5,460.64/8,186.04 = 2,173/x
  3. Step 3: Cross multiply
    5,460.64x = 8,186.04 × 2,173
  4. Step 4: Simplify right side
    5,460.64x = 17,788,264.92
  5. Step 5: Solve for x
    x = 17,788,264.92/5,460.64
  6. Step 6: Final answer
    x = 3,257.54

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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.