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Finding the Fourth Proportional to 6,409.12, 8,844.84 and 3,576.52

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Solution

The fourth proportional to 6,409.12, 8,844.84 and 3,576.52 is: 4,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.12 : 8,844.84 = 3,576.52 : x
  2. Step 2: Convert to fraction form
    6,409.12/8,844.84 = 3,576.52/x
  3. Step 3: Cross multiply
    6,409.12x = 8,844.84 × 3,576.52
  4. Step 4: Simplify right side
    6,409.12x = 31,633,747.16
  5. Step 5: Solve for x
    x = 31,633,747.16/6,409.12
  6. Step 6: Final answer
    x = 4,935.74

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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.