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Finding the Fourth Proportional to 4,644.46, 6,966.84 and 1,357.27

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Solution

The fourth proportional to 4,644.46, 6,966.84 and 1,357.27 is: 2,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.46 : 6,966.84 = 1,357.27 : x
  2. Step 2: Convert to fraction form
    4,644.46/6,966.84 = 1,357.27/x
  3. Step 3: Cross multiply
    4,644.46x = 6,966.84 × 1,357.27
  4. Step 4: Simplify right side
    4,644.46x = 9,455,882.93
  5. Step 5: Solve for x
    x = 9,455,882.93/4,644.46
  6. Step 6: Final answer
    x = 2,035.95

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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.