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Finding the Fourth Proportional to 3,714.85, 5,126.42 and 2,036.26

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Solution

The fourth proportional to 3,714.85, 5,126.42 and 2,036.26 is: 2,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.85 : 5,126.42 = 2,036.26 : x
  2. Step 2: Convert to fraction form
    3,714.85/5,126.42 = 2,036.26/x
  3. Step 3: Cross multiply
    3,714.85x = 5,126.42 × 2,036.26
  4. Step 4: Simplify right side
    3,714.85x = 10,438,723.99
  5. Step 5: Solve for x
    x = 10,438,723.99/3,714.85
  6. Step 6: Final answer
    x = 2,810.00

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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.