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Finding the Fourth Proportional to 3,474.16, 5,213.19 and 1,526.32

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Solution

The fourth proportional to 3,474.16, 5,213.19 and 1,526.32 is: 2,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.16 : 5,213.19 = 1,526.32 : x
  2. Step 2: Convert to fraction form
    3,474.16/5,213.19 = 1,526.32/x
  3. Step 3: Cross multiply
    3,474.16x = 5,213.19 × 1,526.32
  4. Step 4: Simplify right side
    3,474.16x = 7,956,996.16
  5. Step 5: Solve for x
    x = 7,956,996.16/3,474.16
  6. Step 6: Final answer
    x = 2,290.34

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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.