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Finding the Fourth Proportional to 5,714.24, 7,885.56 and 3,324.32

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Solution

The fourth proportional to 5,714.24, 7,885.56 and 3,324.32 is: 4,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.24 : 7,885.56 = 3,324.32 : x
  2. Step 2: Convert to fraction form
    5,714.24/7,885.56 = 3,324.32/x
  3. Step 3: Cross multiply
    5,714.24x = 7,885.56 × 3,324.32
  4. Step 4: Simplify right side
    5,714.24x = 26,214,124.82
  5. Step 5: Solve for x
    x = 26,214,124.82/5,714.24
  6. Step 6: Final answer
    x = 4,587.51

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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.