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Finding the Fourth Proportional to 3,496.42, 5,245.40 and 1,522.36

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Solution

The fourth proportional to 3,496.42, 5,245.40 and 1,522.36 is: 2,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.42 : 5,245.40 = 1,522.36 : x
  2. Step 2: Convert to fraction form
    3,496.42/5,245.40 = 1,522.36/x
  3. Step 3: Cross multiply
    3,496.42x = 5,245.40 × 1,522.36
  4. Step 4: Simplify right side
    3,496.42x = 7,985,386.09
  5. Step 5: Solve for x
    x = 7,985,386.09/3,496.42
  6. Step 6: Final answer
    x = 2,283.88

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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.