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Finding the Fourth Proportional to 3,714.46, 5,126.03 and 2,035.93

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Solution

The fourth proportional to 3,714.46, 5,126.03 and 2,035.93 is: 2,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.46 : 5,126.03 = 2,035.93 : x
  2. Step 2: Convert to fraction form
    3,714.46/5,126.03 = 2,035.93/x
  3. Step 3: Cross multiply
    3,714.46x = 5,126.03 × 2,035.93
  4. Step 4: Simplify right side
    3,714.46x = 10,436,238.26
  5. Step 5: Solve for x
    x = 10,436,238.26/3,714.46
  6. Step 6: Final answer
    x = 2,809.62

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