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Finding the Fourth Proportional to 5,790.16, 7,990.28 and 3,306

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Solution

The fourth proportional to 5,790.16, 7,990.28 and 3,306 is: 4,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.16 : 7,990.28 = 3,306 : x
  2. Step 2: Convert to fraction form
    5,790.16/7,990.28 = 3,306/x
  3. Step 3: Cross multiply
    5,790.16x = 7,990.28 × 3,306
  4. Step 4: Simplify right side
    5,790.16x = 26,415,865.68
  5. Step 5: Solve for x
    x = 26,415,865.68/5,790.16
  6. Step 6: Final answer
    x = 4,562.20

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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.