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Finding the Fourth Proportional to 3,225, 4,835.72 and 1,003.22

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Solution

The fourth proportional to 3,225, 4,835.72 and 1,003.22 is: 1,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225 : 4,835.72 = 1,003.22 : x
  2. Step 2: Convert to fraction form
    3,225/4,835.72 = 1,003.22/x
  3. Step 3: Cross multiply
    3,225x = 4,835.72 × 1,003.22
  4. Step 4: Simplify right side
    3,225x = 4,851,291.02
  5. Step 5: Solve for x
    x = 4,851,291.02/3,225
  6. Step 6: Final answer
    x = 1,504.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.