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Finding the Fourth Proportional to 3,575.30, 5,356.46 and 3,497.54

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Solution

The fourth proportional to 3,575.30, 5,356.46 and 3,497.54 is: 5,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.30 : 5,356.46 = 3,497.54 : x
  2. Step 2: Convert to fraction form
    3,575.30/5,356.46 = 3,497.54/x
  3. Step 3: Cross multiply
    3,575.30x = 5,356.46 × 3,497.54
  4. Step 4: Simplify right side
    3,575.30x = 18,734,433.11
  5. Step 5: Solve for x
    x = 18,734,433.11/3,575.30
  6. Step 6: Final answer
    x = 5,239.96

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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.