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Finding the Fourth Proportional to 5,714.10, 7,886.34 and 3,944.22

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Solution

The fourth proportional to 5,714.10, 7,886.34 and 3,944.22 is: 5,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.10 : 7,886.34 = 3,944.22 : x
  2. Step 2: Convert to fraction form
    5,714.10/7,886.34 = 3,944.22/x
  3. Step 3: Cross multiply
    5,714.10x = 7,886.34 × 3,944.22
  4. Step 4: Simplify right side
    5,714.10x = 31,105,459.95
  5. Step 5: Solve for x
    x = 31,105,459.95/5,714.10
  6. Step 6: Final answer
    x = 5,443.63

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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.