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Finding the Fourth Proportional to 5,204.52, 7,184.22 and 3,534.57

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Solution

The fourth proportional to 5,204.52, 7,184.22 and 3,534.57 is: 4,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.52 : 7,184.22 = 3,534.57 : x
  2. Step 2: Convert to fraction form
    5,204.52/7,184.22 = 3,534.57/x
  3. Step 3: Cross multiply
    5,204.52x = 7,184.22 × 3,534.57
  4. Step 4: Simplify right side
    5,204.52x = 25,393,128.49
  5. Step 5: Solve for x
    x = 25,393,128.49/5,204.52
  6. Step 6: Final answer
    x = 4,879.05

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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.