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Finding the Fourth Proportional to 5,682.46, 7,839.25 and 3,323.58

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Solution

The fourth proportional to 5,682.46, 7,839.25 and 3,323.58 is: 4,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.46 : 7,839.25 = 3,323.58 : x
  2. Step 2: Convert to fraction form
    5,682.46/7,839.25 = 3,323.58/x
  3. Step 3: Cross multiply
    5,682.46x = 7,839.25 × 3,323.58
  4. Step 4: Simplify right side
    5,682.46x = 26,054,374.52
  5. Step 5: Solve for x
    x = 26,054,374.52/5,682.46
  6. Step 6: Final answer
    x = 4,585.05

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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.