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Finding the Fourth Proportional to 3,714.81, 5,126.21 and 2,035.88

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Solution

The fourth proportional to 3,714.81, 5,126.21 and 2,035.88 is: 2,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.81 : 5,126.21 = 2,035.88 : x
  2. Step 2: Convert to fraction form
    3,714.81/5,126.21 = 2,035.88/x
  3. Step 3: Cross multiply
    3,714.81x = 5,126.21 × 2,035.88
  4. Step 4: Simplify right side
    3,714.81x = 10,436,312.60
  5. Step 5: Solve for x
    x = 10,436,312.60/3,714.81
  6. Step 6: Final answer
    x = 2,809.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.