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Finding the Fourth Proportional to 5,782.46, 7,980.18 and 3,263.68

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Solution

The fourth proportional to 5,782.46, 7,980.18 and 3,263.68 is: 4,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.46 : 7,980.18 = 3,263.68 : x
  2. Step 2: Convert to fraction form
    5,782.46/7,980.18 = 3,263.68/x
  3. Step 3: Cross multiply
    5,782.46x = 7,980.18 × 3,263.68
  4. Step 4: Simplify right side
    5,782.46x = 26,044,713.96
  5. Step 5: Solve for x
    x = 26,044,713.96/5,782.46
  6. Step 6: Final answer
    x = 4,504.09

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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.