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Finding the Fourth Proportional to 3,317.12, 4,974.88 and 1,008

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Solution

The fourth proportional to 3,317.12, 4,974.88 and 1,008 is: 1,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.12 : 4,974.88 = 1,008 : x
  2. Step 2: Convert to fraction form
    3,317.12/4,974.88 = 1,008/x
  3. Step 3: Cross multiply
    3,317.12x = 4,974.88 × 1,008
  4. Step 4: Simplify right side
    3,317.12x = 5,014,679.04
  5. Step 5: Solve for x
    x = 5,014,679.04/3,317.12
  6. Step 6: Final answer
    x = 1,511.76

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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.