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Finding the Fourth Proportional to 5,819.51, 7,978.56 and 5,714.21

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Solution

The fourth proportional to 5,819.51, 7,978.56 and 5,714.21 is: 7,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.51 : 7,978.56 = 5,714.21 : x
  2. Step 2: Convert to fraction form
    5,819.51/7,978.56 = 5,714.21/x
  3. Step 3: Cross multiply
    5,819.51x = 7,978.56 × 5,714.21
  4. Step 4: Simplify right side
    5,819.51x = 45,591,167.34
  5. Step 5: Solve for x
    x = 45,591,167.34/5,819.51
  6. Step 6: Final answer
    x = 7,834.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.