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Finding the Fourth Proportional to 3,217.44, 4,826.06 and 1,026.30

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Solution

The fourth proportional to 3,217.44, 4,826.06 and 1,026.30 is: 1,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.44 : 4,826.06 = 1,026.30 : x
  2. Step 2: Convert to fraction form
    3,217.44/4,826.06 = 1,026.30/x
  3. Step 3: Cross multiply
    3,217.44x = 4,826.06 × 1,026.30
  4. Step 4: Simplify right side
    3,217.44x = 4,952,985.38
  5. Step 5: Solve for x
    x = 4,952,985.38/3,217.44
  6. Step 6: Final answer
    x = 1,539.42

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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.