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Finding the Fourth Proportional to 5,700.10, 7,869.00 and 3,578.71

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Solution

The fourth proportional to 5,700.10, 7,869.00 and 3,578.71 is: 4,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.10 : 7,869.00 = 3,578.71 : x
  2. Step 2: Convert to fraction form
    5,700.10/7,869.00 = 3,578.71/x
  3. Step 3: Cross multiply
    5,700.10x = 7,869.00 × 3,578.71
  4. Step 4: Simplify right side
    5,700.10x = 28,160,835.23
  5. Step 5: Solve for x
    x = 28,160,835.23/5,700.10
  6. Step 6: Final answer
    x = 4,940.41

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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.