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Finding the Fourth Proportional to 3,496.84, 5,245.23 and 1,416.81

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Solution

The fourth proportional to 3,496.84, 5,245.23 and 1,416.81 is: 2,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.84 : 5,245.23 = 1,416.81 : x
  2. Step 2: Convert to fraction form
    3,496.84/5,245.23 = 1,416.81/x
  3. Step 3: Cross multiply
    3,496.84x = 5,245.23 × 1,416.81
  4. Step 4: Simplify right side
    3,496.84x = 7,431,494.32
  5. Step 5: Solve for x
    x = 7,431,494.32/3,496.84
  6. Step 6: Final answer
    x = 2,125.20

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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.