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Finding the Fourth Proportional to 5,700.14, 8,545.41 and 2,004.80

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Solution

The fourth proportional to 5,700.14, 8,545.41 and 2,004.80 is: 3,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.14 : 8,545.41 = 2,004.80 : x
  2. Step 2: Convert to fraction form
    5,700.14/8,545.41 = 2,004.80/x
  3. Step 3: Cross multiply
    5,700.14x = 8,545.41 × 2,004.80
  4. Step 4: Simplify right side
    5,700.14x = 17,131,795.24
  5. Step 5: Solve for x
    x = 17,131,795.24/5,700.14
  6. Step 6: Final answer
    x = 3,005.51

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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.