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Finding the Fourth Proportional to 5,585.66, 8,378.78 and 3,949.50

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Solution

The fourth proportional to 5,585.66, 8,378.78 and 3,949.50 is: 5,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.66 : 8,378.78 = 3,949.50 : x
  2. Step 2: Convert to fraction form
    5,585.66/8,378.78 = 3,949.50/x
  3. Step 3: Cross multiply
    5,585.66x = 8,378.78 × 3,949.50
  4. Step 4: Simplify right side
    5,585.66x = 33,091,991.61
  5. Step 5: Solve for x
    x = 33,091,991.61/5,585.66
  6. Step 6: Final answer
    x = 5,924.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.