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Finding the Fourth Proportional to 3,362.76, 5,039.53 and 1,715.84

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Solution

The fourth proportional to 3,362.76, 5,039.53 and 1,715.84 is: 2,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.76 : 5,039.53 = 1,715.84 : x
  2. Step 2: Convert to fraction form
    3,362.76/5,039.53 = 1,715.84/x
  3. Step 3: Cross multiply
    3,362.76x = 5,039.53 × 1,715.84
  4. Step 4: Simplify right side
    3,362.76x = 8,647,035.46
  5. Step 5: Solve for x
    x = 8,647,035.46/3,362.76
  6. Step 6: Final answer
    x = 2,571.41

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Why These Related Problems?

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