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Finding the Fourth Proportional to 5,714.96, 8,573.40 and 1,820.56

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Solution

The fourth proportional to 5,714.96, 8,573.40 and 1,820.56 is: 2,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.96 : 8,573.40 = 1,820.56 : x
  2. Step 2: Convert to fraction form
    5,714.96/8,573.40 = 1,820.56/x
  3. Step 3: Cross multiply
    5,714.96x = 8,573.40 × 1,820.56
  4. Step 4: Simplify right side
    5,714.96x = 15,608,389.10
  5. Step 5: Solve for x
    x = 15,608,389.10/5,714.96
  6. Step 6: Final answer
    x = 2,731.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.