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Finding the Fourth Proportional to 5,712.43, 7,884.04 and 3,475.01

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Solution

The fourth proportional to 5,712.43, 7,884.04 and 3,475.01 is: 4,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.43 : 7,884.04 = 3,475.01 : x
  2. Step 2: Convert to fraction form
    5,712.43/7,884.04 = 3,475.01/x
  3. Step 3: Cross multiply
    5,712.43x = 7,884.04 × 3,475.01
  4. Step 4: Simplify right side
    5,712.43x = 27,397,082.76
  5. Step 5: Solve for x
    x = 27,397,082.76/5,712.43
  6. Step 6: Final answer
    x = 4,796.05

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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.