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Finding the Fourth Proportional to 5,457.73, 8,186.80 and 1,760.01

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Solution

The fourth proportional to 5,457.73, 8,186.80 and 1,760.01 is: 2,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.73 : 8,186.80 = 1,760.01 : x
  2. Step 2: Convert to fraction form
    5,457.73/8,186.80 = 1,760.01/x
  3. Step 3: Cross multiply
    5,457.73x = 8,186.80 × 1,760.01
  4. Step 4: Simplify right side
    5,457.73x = 14,408,876.17
  5. Step 5: Solve for x
    x = 14,408,876.17/5,457.73
  6. Step 6: Final answer
    x = 2,640.09

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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.