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Finding the Fourth Proportional to 3,714.66, 5,126.17 and 2,036.07

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Solution

The fourth proportional to 3,714.66, 5,126.17 and 2,036.07 is: 2,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.66 : 5,126.17 = 2,036.07 : x
  2. Step 2: Convert to fraction form
    3,714.66/5,126.17 = 2,036.07/x
  3. Step 3: Cross multiply
    3,714.66x = 5,126.17 × 2,036.07
  4. Step 4: Simplify right side
    3,714.66x = 10,437,240.95
  5. Step 5: Solve for x
    x = 10,437,240.95/3,714.66
  6. Step 6: Final answer
    x = 2,809.74

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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.