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Finding the Fourth Proportional to 4,538.90, 6,799.49 and 2,558.50

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Solution

The fourth proportional to 4,538.90, 6,799.49 and 2,558.50 is: 3,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.90 : 6,799.49 = 2,558.50 : x
  2. Step 2: Convert to fraction form
    4,538.90/6,799.49 = 2,558.50/x
  3. Step 3: Cross multiply
    4,538.90x = 6,799.49 × 2,558.50
  4. Step 4: Simplify right side
    4,538.90x = 17,396,495.17
  5. Step 5: Solve for x
    x = 17,396,495.17/4,538.90
  6. Step 6: Final answer
    x = 3,832.76

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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.