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Finding the Fourth Proportional to 3,496.86, 5,247.47 and 1,416.89

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Solution

The fourth proportional to 3,496.86, 5,247.47 and 1,416.89 is: 2,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.86 : 5,247.47 = 1,416.89 : x
  2. Step 2: Convert to fraction form
    3,496.86/5,247.47 = 1,416.89/x
  3. Step 3: Cross multiply
    3,496.86x = 5,247.47 × 1,416.89
  4. Step 4: Simplify right side
    3,496.86x = 7,435,104.43
  5. Step 5: Solve for x
    x = 7,435,104.43/3,496.86
  6. Step 6: Final answer
    x = 2,126.22

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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.