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Finding the Fourth Proportional to 5,455.64, 7,526.81 and 3,568.30

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Solution

The fourth proportional to 5,455.64, 7,526.81 and 3,568.30 is: 4,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.64 : 7,526.81 = 3,568.30 : x
  2. Step 2: Convert to fraction form
    5,455.64/7,526.81 = 3,568.30/x
  3. Step 3: Cross multiply
    5,455.64x = 7,526.81 × 3,568.30
  4. Step 4: Simplify right side
    5,455.64x = 26,857,906.23
  5. Step 5: Solve for x
    x = 26,857,906.23/5,455.64
  6. Step 6: Final answer
    x = 4,922.96

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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.