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Finding the Fourth Proportional to 5,457, 8,185.50 and 1,353

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Solution

The fourth proportional to 5,457, 8,185.50 and 1,353 is: 2,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457 : 8,185.50 = 1,353 : x
  2. Step 2: Convert to fraction form
    5,457/8,185.50 = 1,353/x
  3. Step 3: Cross multiply
    5,457x = 8,185.50 × 1,353
  4. Step 4: Simplify right side
    5,457x = 11,074,981.50
  5. Step 5: Solve for x
    x = 11,074,981.50/5,457
  6. Step 6: Final answer
    x = 2,029.50

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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.