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Finding the Fourth Proportional to 3,714.93, 5,126.41 and 2,036.04

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Solution

The fourth proportional to 3,714.93, 5,126.41 and 2,036.04 is: 2,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.93 : 5,126.41 = 2,036.04 : x
  2. Step 2: Convert to fraction form
    3,714.93/5,126.41 = 2,036.04/x
  3. Step 3: Cross multiply
    3,714.93x = 5,126.41 × 2,036.04
  4. Step 4: Simplify right side
    3,714.93x = 10,437,575.82
  5. Step 5: Solve for x
    x = 10,437,575.82/3,714.93
  6. Step 6: Final answer
    x = 2,809.63

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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.