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Finding the Fourth Proportional to 5,184.68, 7,777.06 and 1,721.96

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Solution

The fourth proportional to 5,184.68, 7,777.06 and 1,721.96 is: 2,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.68 : 7,777.06 = 1,721.96 : x
  2. Step 2: Convert to fraction form
    5,184.68/7,777.06 = 1,721.96/x
  3. Step 3: Cross multiply
    5,184.68x = 7,777.06 × 1,721.96
  4. Step 4: Simplify right side
    5,184.68x = 13,391,786.24
  5. Step 5: Solve for x
    x = 13,391,786.24/5,184.68
  6. Step 6: Final answer
    x = 2,582.95

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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.