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Finding the Fourth Proportional to 5,185.68, 7,776.84 and 1,722

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Solution

The fourth proportional to 5,185.68, 7,776.84 and 1,722 is: 2,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.68 : 7,776.84 = 1,722 : x
  2. Step 2: Convert to fraction form
    5,185.68/7,776.84 = 1,722/x
  3. Step 3: Cross multiply
    5,185.68x = 7,776.84 × 1,722
  4. Step 4: Simplify right side
    5,185.68x = 13,391,718.48
  5. Step 5: Solve for x
    x = 13,391,718.48/5,185.68
  6. Step 6: Final answer
    x = 2,582.44

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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.