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Finding the Fourth Proportional to 4,047.43, 5,577.24 and 3,103.24

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Solution

The fourth proportional to 4,047.43, 5,577.24 and 3,103.24 is: 4,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.43 : 5,577.24 = 3,103.24 : x
  2. Step 2: Convert to fraction form
    4,047.43/5,577.24 = 3,103.24/x
  3. Step 3: Cross multiply
    4,047.43x = 5,577.24 × 3,103.24
  4. Step 4: Simplify right side
    4,047.43x = 17,307,514.26
  5. Step 5: Solve for x
    x = 17,307,514.26/4,047.43
  6. Step 6: Final answer
    x = 4,276.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.