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Finding the Fourth Proportional to 5,191.98, 7,785.09 and 1,727.34

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Solution

The fourth proportional to 5,191.98, 7,785.09 and 1,727.34 is: 2,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.98 : 7,785.09 = 1,727.34 : x
  2. Step 2: Convert to fraction form
    5,191.98/7,785.09 = 1,727.34/x
  3. Step 3: Cross multiply
    5,191.98x = 7,785.09 × 1,727.34
  4. Step 4: Simplify right side
    5,191.98x = 13,447,497.36
  5. Step 5: Solve for x
    x = 13,447,497.36/5,191.98
  6. Step 6: Final answer
    x = 2,590.05

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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.