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Finding the Fourth Proportional to 5,003.70, 7,503.00 and 1,670.75

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Solution

The fourth proportional to 5,003.70, 7,503.00 and 1,670.75 is: 2,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.70 : 7,503.00 = 1,670.75 : x
  2. Step 2: Convert to fraction form
    5,003.70/7,503.00 = 1,670.75/x
  3. Step 3: Cross multiply
    5,003.70x = 7,503.00 × 1,670.75
  4. Step 4: Simplify right side
    5,003.70x = 12,535,625.14
  5. Step 5: Solve for x
    x = 12,535,625.14/5,003.70
  6. Step 6: Final answer
    x = 2,505.27

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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.