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Finding the Fourth Proportional to 5,784.55, 7,982.72 and 3,266.77

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Solution

The fourth proportional to 5,784.55, 7,982.72 and 3,266.77 is: 4,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.55 : 7,982.72 = 3,266.77 : x
  2. Step 2: Convert to fraction form
    5,784.55/7,982.72 = 3,266.77/x
  3. Step 3: Cross multiply
    5,784.55x = 7,982.72 × 3,266.77
  4. Step 4: Simplify right side
    5,784.55x = 26,077,710.21
  5. Step 5: Solve for x
    x = 26,077,710.21/5,784.55
  6. Step 6: Final answer
    x = 4,508.17

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Why These Related Problems?

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