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Finding the Fourth Proportional to 3,416.46, 5,125.11 and 1,225

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Solution

The fourth proportional to 3,416.46, 5,125.11 and 1,225 is: 1,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.46 : 5,125.11 = 1,225 : x
  2. Step 2: Convert to fraction form
    3,416.46/5,125.11 = 1,225/x
  3. Step 3: Cross multiply
    3,416.46x = 5,125.11 × 1,225
  4. Step 4: Simplify right side
    3,416.46x = 6,278,259.75
  5. Step 5: Solve for x
    x = 6,278,259.75/3,416.46
  6. Step 6: Final answer
    x = 1,837.65

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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.