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Finding the Fourth Proportional to 3,475.36, 5,213.10 and 1,527.16

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Solution

The fourth proportional to 3,475.36, 5,213.10 and 1,527.16 is: 2,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.36 : 5,213.10 = 1,527.16 : x
  2. Step 2: Convert to fraction form
    3,475.36/5,213.10 = 1,527.16/x
  3. Step 3: Cross multiply
    3,475.36x = 5,213.10 × 1,527.16
  4. Step 4: Simplify right side
    3,475.36x = 7,961,237.80
  5. Step 5: Solve for x
    x = 7,961,237.80/3,475.36
  6. Step 6: Final answer
    x = 2,290.77

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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.