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Finding the Fourth Proportional to 3,457, 5,185.50 and 1,025

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Solution

The fourth proportional to 3,457, 5,185.50 and 1,025 is: 1,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457 : 5,185.50 = 1,025 : x
  2. Step 2: Convert to fraction form
    3,457/5,185.50 = 1,025/x
  3. Step 3: Cross multiply
    3,457x = 5,185.50 × 1,025
  4. Step 4: Simplify right side
    3,457x = 5,315,137.50
  5. Step 5: Solve for x
    x = 5,315,137.50/3,457
  6. Step 6: Final answer
    x = 1,537.50

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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.