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Finding the Fourth Proportional to 5,677.64, 8,519.10 and 2,558.54

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Solution

The fourth proportional to 5,677.64, 8,519.10 and 2,558.54 is: 3,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.64 : 8,519.10 = 2,558.54 : x
  2. Step 2: Convert to fraction form
    5,677.64/8,519.10 = 2,558.54/x
  3. Step 3: Cross multiply
    5,677.64x = 8,519.10 × 2,558.54
  4. Step 4: Simplify right side
    5,677.64x = 21,796,458.11
  5. Step 5: Solve for x
    x = 21,796,458.11/5,677.64
  6. Step 6: Final answer
    x = 3,839.00

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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.