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Finding the Fourth Proportional to 5,049.12, 7,572 and 2,416.32

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Solution

The fourth proportional to 5,049.12, 7,572 and 2,416.32 is: 3,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.12 : 7,572 = 2,416.32 : x
  2. Step 2: Convert to fraction form
    5,049.12/7,572 = 2,416.32/x
  3. Step 3: Cross multiply
    5,049.12x = 7,572 × 2,416.32
  4. Step 4: Simplify right side
    5,049.12x = 18,296,375.04
  5. Step 5: Solve for x
    x = 18,296,375.04/5,049.12
  6. Step 6: Final answer
    x = 3,623.68

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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.