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Finding the Fourth Proportional to 5,713.19, 7,884.30 and 3,475.16

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Solution

The fourth proportional to 5,713.19, 7,884.30 and 3,475.16 is: 4,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.19 : 7,884.30 = 3,475.16 : x
  2. Step 2: Convert to fraction form
    5,713.19/7,884.30 = 3,475.16/x
  3. Step 3: Cross multiply
    5,713.19x = 7,884.30 × 3,475.16
  4. Step 4: Simplify right side
    5,713.19x = 27,399,203.99
  5. Step 5: Solve for x
    x = 27,399,203.99/5,713.19
  6. Step 6: Final answer
    x = 4,795.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.