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Finding the Fourth Proportional to 3,714.51, 5,125.86 and 2,221.56

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Solution

The fourth proportional to 3,714.51, 5,125.86 and 2,221.56 is: 3,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.51 : 5,125.86 = 2,221.56 : x
  2. Step 2: Convert to fraction form
    3,714.51/5,125.86 = 2,221.56/x
  3. Step 3: Cross multiply
    3,714.51x = 5,125.86 × 2,221.56
  4. Step 4: Simplify right side
    3,714.51x = 11,387,405.54
  5. Step 5: Solve for x
    x = 11,387,405.54/3,714.51
  6. Step 6: Final answer
    x = 3,065.65

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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.