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Finding the Fourth Proportional to 2,583.50, 3,517.53 and 2,575.29

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Solution

The fourth proportional to 2,583.50, 3,517.53 and 2,575.29 is: 3,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.50 : 3,517.53 = 2,575.29 : x
  2. Step 2: Convert to fraction form
    2,583.50/3,517.53 = 2,575.29/x
  3. Step 3: Cross multiply
    2,583.50x = 3,517.53 × 2,575.29
  4. Step 4: Simplify right side
    2,583.50x = 9,058,663.37
  5. Step 5: Solve for x
    x = 9,058,663.37/2,583.50
  6. Step 6: Final answer
    x = 3,506.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.