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Finding the Fourth Proportional to 4,306.77, 6,454.69 and 4,219.29

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Solution

The fourth proportional to 4,306.77, 6,454.69 and 4,219.29 is: 6,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.77 : 6,454.69 = 4,219.29 : x
  2. Step 2: Convert to fraction form
    4,306.77/6,454.69 = 4,219.29/x
  3. Step 3: Cross multiply
    4,306.77x = 6,454.69 × 4,219.29
  4. Step 4: Simplify right side
    4,306.77x = 27,234,198.42
  5. Step 5: Solve for x
    x = 27,234,198.42/4,306.77
  6. Step 6: Final answer
    x = 6,323.58

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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.