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Finding the Fourth Proportional to 3,714.69, 5,126.40 and 2,036.24

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Solution

The fourth proportional to 3,714.69, 5,126.40 and 2,036.24 is: 2,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.69 : 5,126.40 = 2,036.24 : x
  2. Step 2: Convert to fraction form
    3,714.69/5,126.40 = 2,036.24/x
  3. Step 3: Cross multiply
    3,714.69x = 5,126.40 × 2,036.24
  4. Step 4: Simplify right side
    3,714.69x = 10,438,593.55
  5. Step 5: Solve for x
    x = 10,438,593.55/3,714.69
  6. Step 6: Final answer
    x = 2,810.08

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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.