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Finding the Fourth Proportional to 3,578.40, 4,938.24 and 2,006.50

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Solution

The fourth proportional to 3,578.40, 4,938.24 and 2,006.50 is: 2,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.40 : 4,938.24 = 2,006.50 : x
  2. Step 2: Convert to fraction form
    3,578.40/4,938.24 = 2,006.50/x
  3. Step 3: Cross multiply
    3,578.40x = 4,938.24 × 2,006.50
  4. Step 4: Simplify right side
    3,578.40x = 9,908,578.56
  5. Step 5: Solve for x
    x = 9,908,578.56/3,578.40
  6. Step 6: Final answer
    x = 2,769.00

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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.