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Finding the Fourth Proportional to 6,438.80, 9,658.92 and 2,054.72

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Solution

The fourth proportional to 6,438.80, 9,658.92 and 2,054.72 is: 3,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.80 : 9,658.92 = 2,054.72 : x
  2. Step 2: Convert to fraction form
    6,438.80/9,658.92 = 2,054.72/x
  3. Step 3: Cross multiply
    6,438.80x = 9,658.92 × 2,054.72
  4. Step 4: Simplify right side
    6,438.80x = 19,846,376.10
  5. Step 5: Solve for x
    x = 19,846,376.10/6,438.80
  6. Step 6: Final answer
    x = 3,082.31

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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.