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Finding the Fourth Proportional to 5,784.24, 7,981.74 and 3,266.22

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Solution

The fourth proportional to 5,784.24, 7,981.74 and 3,266.22 is: 4,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.24 : 7,981.74 = 3,266.22 : x
  2. Step 2: Convert to fraction form
    5,784.24/7,981.74 = 3,266.22/x
  3. Step 3: Cross multiply
    5,784.24x = 7,981.74 × 3,266.22
  4. Step 4: Simplify right side
    5,784.24x = 26,070,118.82
  5. Step 5: Solve for x
    x = 26,070,118.82/5,784.24
  6. Step 6: Final answer
    x = 4,507.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.