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Finding the Fourth Proportional to 5,620.40, 7,756.46 and 3,382.98

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Solution

The fourth proportional to 5,620.40, 7,756.46 and 3,382.98 is: 4,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.40 : 7,756.46 = 3,382.98 : x
  2. Step 2: Convert to fraction form
    5,620.40/7,756.46 = 3,382.98/x
  3. Step 3: Cross multiply
    5,620.40x = 7,756.46 × 3,382.98
  4. Step 4: Simplify right side
    5,620.40x = 26,239,932.14
  5. Step 5: Solve for x
    x = 26,239,932.14/5,620.40
  6. Step 6: Final answer
    x = 4,668.70

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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.