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Finding the Fourth Proportional to 2,964.08, 4,443.96 and 2,558

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Solution

The fourth proportional to 2,964.08, 4,443.96 and 2,558 is: 3,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.08 : 4,443.96 = 2,558 : x
  2. Step 2: Convert to fraction form
    2,964.08/4,443.96 = 2,558/x
  3. Step 3: Cross multiply
    2,964.08x = 4,443.96 × 2,558
  4. Step 4: Simplify right side
    2,964.08x = 11,367,649.68
  5. Step 5: Solve for x
    x = 11,367,649.68/2,964.08
  6. Step 6: Final answer
    x = 3,835.14

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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.