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Finding the Fourth Proportional to 5,790.23, 7,990.49 and 3,137.63

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Solution

The fourth proportional to 5,790.23, 7,990.49 and 3,137.63 is: 4,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.23 : 7,990.49 = 3,137.63 : x
  2. Step 2: Convert to fraction form
    5,790.23/7,990.49 = 3,137.63/x
  3. Step 3: Cross multiply
    5,790.23x = 7,990.49 × 3,137.63
  4. Step 4: Simplify right side
    5,790.23x = 25,071,145.50
  5. Step 5: Solve for x
    x = 25,071,145.50/5,790.23
  6. Step 6: Final answer
    x = 4,329.91

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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.