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Finding the Fourth Proportional to 5,153.71, 7,727.05 and 2,378.84

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Solution

The fourth proportional to 5,153.71, 7,727.05 and 2,378.84 is: 3,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.71 : 7,727.05 = 2,378.84 : x
  2. Step 2: Convert to fraction form
    5,153.71/7,727.05 = 2,378.84/x
  3. Step 3: Cross multiply
    5,153.71x = 7,727.05 × 2,378.84
  4. Step 4: Simplify right side
    5,153.71x = 18,381,366.58
  5. Step 5: Solve for x
    x = 18,381,366.58/5,153.71
  6. Step 6: Final answer
    x = 3,566.63

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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.