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Finding the Fourth Proportional to 2,558.39, 3,536.87 and 2,535

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Solution

The fourth proportional to 2,558.39, 3,536.87 and 2,535 is: 3,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.39 : 3,536.87 = 2,535 : x
  2. Step 2: Convert to fraction form
    2,558.39/3,536.87 = 2,535/x
  3. Step 3: Cross multiply
    2,558.39x = 3,536.87 × 2,535
  4. Step 4: Simplify right side
    2,558.39x = 8,965,952.78
  5. Step 5: Solve for x
    x = 8,965,952.78/2,558.39
  6. Step 6: Final answer
    x = 3,504.54

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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.