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Finding the Fourth Proportional to 3,714.53, 5,571.65 and 941.29

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Solution

The fourth proportional to 3,714.53, 5,571.65 and 941.29 is: 1,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.53 : 5,571.65 = 941.29 : x
  2. Step 2: Convert to fraction form
    3,714.53/5,571.65 = 941.29/x
  3. Step 3: Cross multiply
    3,714.53x = 5,571.65 × 941.29
  4. Step 4: Simplify right side
    3,714.53x = 5,244,526.85
  5. Step 5: Solve for x
    x = 5,244,526.85/3,714.53
  6. Step 6: Final answer
    x = 1,411.90

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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.