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Finding the Fourth Proportional to 5,410.83, 8,115.75 and 1,713

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Solution

The fourth proportional to 5,410.83, 8,115.75 and 1,713 is: 2,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.83 : 8,115.75 = 1,713 : x
  2. Step 2: Convert to fraction form
    5,410.83/8,115.75 = 1,713/x
  3. Step 3: Cross multiply
    5,410.83x = 8,115.75 × 1,713
  4. Step 4: Simplify right side
    5,410.83x = 13,902,279.75
  5. Step 5: Solve for x
    x = 13,902,279.75/5,410.83
  6. Step 6: Final answer
    x = 2,569.34

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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.