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Finding the Fourth Proportional to 5,574.29, 8,362.29 and 1,876.23

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Solution

The fourth proportional to 5,574.29, 8,362.29 and 1,876.23 is: 2,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.29 : 8,362.29 = 1,876.23 : x
  2. Step 2: Convert to fraction form
    5,574.29/8,362.29 = 1,876.23/x
  3. Step 3: Cross multiply
    5,574.29x = 8,362.29 × 1,876.23
  4. Step 4: Simplify right side
    5,574.29x = 15,689,537.56
  5. Step 5: Solve for x
    x = 15,689,537.56/5,574.29
  6. Step 6: Final answer
    x = 2,814.63

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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.