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Finding the Fourth Proportional to 3,714.71, 5,126.24 and 2,036.09

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Solution

The fourth proportional to 3,714.71, 5,126.24 and 2,036.09 is: 2,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.71 : 5,126.24 = 2,036.09 : x
  2. Step 2: Convert to fraction form
    3,714.71/5,126.24 = 2,036.09/x
  3. Step 3: Cross multiply
    3,714.71x = 5,126.24 × 2,036.09
  4. Step 4: Simplify right side
    3,714.71x = 10,437,450.19
  5. Step 5: Solve for x
    x = 10,437,450.19/3,714.71
  6. Step 6: Final answer
    x = 2,809.77

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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.