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Finding the Fourth Proportional to 3,356.94, 5,035 and 1,714.67

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Solution

The fourth proportional to 3,356.94, 5,035 and 1,714.67 is: 2,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.94 : 5,035 = 1,714.67 : x
  2. Step 2: Convert to fraction form
    3,356.94/5,035 = 1,714.67/x
  3. Step 3: Cross multiply
    3,356.94x = 5,035 × 1,714.67
  4. Step 4: Simplify right side
    3,356.94x = 8,633,363.45
  5. Step 5: Solve for x
    x = 8,633,363.45/3,356.94
  6. Step 6: Final answer
    x = 2,571.80

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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.