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Finding the Fourth Proportional to 3,578.46, 4,938.48 and 2,006.43

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Solution

The fourth proportional to 3,578.46, 4,938.48 and 2,006.43 is: 2,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.46 : 4,938.48 = 2,006.43 : x
  2. Step 2: Convert to fraction form
    3,578.46/4,938.48 = 2,006.43/x
  3. Step 3: Cross multiply
    3,578.46x = 4,938.48 × 2,006.43
  4. Step 4: Simplify right side
    3,578.46x = 9,908,714.43
  5. Step 5: Solve for x
    x = 9,908,714.43/3,578.46
  6. Step 6: Final answer
    x = 2,768.99

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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.