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Finding the Fourth Proportional to 5,714.30, 7,889.82 and 4,456.76

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Solution

The fourth proportional to 5,714.30, 7,889.82 and 4,456.76 is: 6,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.30 : 7,889.82 = 4,456.76 : x
  2. Step 2: Convert to fraction form
    5,714.30/7,889.82 = 4,456.76/x
  3. Step 3: Cross multiply
    5,714.30x = 7,889.82 × 4,456.76
  4. Step 4: Simplify right side
    5,714.30x = 35,163,034.18
  5. Step 5: Solve for x
    x = 35,163,034.18/5,714.30
  6. Step 6: Final answer
    x = 6,153.52

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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.