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Finding the Fourth Proportional to 5,576.64, 8,364.56 and 2,288.84

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Solution

The fourth proportional to 5,576.64, 8,364.56 and 2,288.84 is: 3,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.64 : 8,364.56 = 2,288.84 : x
  2. Step 2: Convert to fraction form
    5,576.64/8,364.56 = 2,288.84/x
  3. Step 3: Cross multiply
    5,576.64x = 8,364.56 × 2,288.84
  4. Step 4: Simplify right side
    5,576.64x = 19,145,139.51
  5. Step 5: Solve for x
    x = 19,145,139.51/5,576.64
  6. Step 6: Final answer
    x = 3,433.10

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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.