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Finding the Fourth Proportional to 4,753.49, 7,130.97 and 1,467.32

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Solution

The fourth proportional to 4,753.49, 7,130.97 and 1,467.32 is: 2,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.49 : 7,130.97 = 1,467.32 : x
  2. Step 2: Convert to fraction form
    4,753.49/7,130.97 = 1,467.32/x
  3. Step 3: Cross multiply
    4,753.49x = 7,130.97 × 1,467.32
  4. Step 4: Simplify right side
    4,753.49x = 10,463,379.25
  5. Step 5: Solve for x
    x = 10,463,379.25/4,753.49
  6. Step 6: Final answer
    x = 2,201.20

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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.