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Finding the Fourth Proportional to 3,524.72, 5,287.08 and 1,416.29

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Solution

The fourth proportional to 3,524.72, 5,287.08 and 1,416.29 is: 2,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.72 : 5,287.08 = 1,416.29 : x
  2. Step 2: Convert to fraction form
    3,524.72/5,287.08 = 1,416.29/x
  3. Step 3: Cross multiply
    3,524.72x = 5,287.08 × 1,416.29
  4. Step 4: Simplify right side
    3,524.72x = 7,488,012.10
  5. Step 5: Solve for x
    x = 7,488,012.10/3,524.72
  6. Step 6: Final answer
    x = 2,124.43

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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.