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Finding the Fourth Proportional to 4,378.84, 6,539.39 and 3,895

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Solution

The fourth proportional to 4,378.84, 6,539.39 and 3,895 is: 5,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.84 : 6,539.39 = 3,895 : x
  2. Step 2: Convert to fraction form
    4,378.84/6,539.39 = 3,895/x
  3. Step 3: Cross multiply
    4,378.84x = 6,539.39 × 3,895
  4. Step 4: Simplify right side
    4,378.84x = 25,470,924.05
  5. Step 5: Solve for x
    x = 25,470,924.05/4,378.84
  6. Step 6: Final answer
    x = 5,816.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.