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Finding the Fourth Proportional to 4,685.44, 6,463.05 and 3,006.28

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Solution

The fourth proportional to 4,685.44, 6,463.05 and 3,006.28 is: 4,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.44 : 6,463.05 = 3,006.28 : x
  2. Step 2: Convert to fraction form
    4,685.44/6,463.05 = 3,006.28/x
  3. Step 3: Cross multiply
    4,685.44x = 6,463.05 × 3,006.28
  4. Step 4: Simplify right side
    4,685.44x = 19,429,737.95
  5. Step 5: Solve for x
    x = 19,429,737.95/4,685.44
  6. Step 6: Final answer
    x = 4,146.83

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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.