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Finding the Fourth Proportional to 4,536.78, 6,776.00 and 3,880.86

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Solution

The fourth proportional to 4,536.78, 6,776.00 and 3,880.86 is: 5,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.78 : 6,776.00 = 3,880.86 : x
  2. Step 2: Convert to fraction form
    4,536.78/6,776.00 = 3,880.86/x
  3. Step 3: Cross multiply
    4,536.78x = 6,776.00 × 3,880.86
  4. Step 4: Simplify right side
    4,536.78x = 26,296,687.96
  5. Step 5: Solve for x
    x = 26,296,687.96/4,536.78
  6. Step 6: Final answer
    x = 5,796.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.