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Finding the Fourth Proportional to 3,317.44, 4,976 and 852.32

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Solution

The fourth proportional to 3,317.44, 4,976 and 852.32 is: 1,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.44 : 4,976 = 852.32 : x
  2. Step 2: Convert to fraction form
    3,317.44/4,976 = 852.32/x
  3. Step 3: Cross multiply
    3,317.44x = 4,976 × 852.32
  4. Step 4: Simplify right side
    3,317.44x = 4,241,144.32
  5. Step 5: Solve for x
    x = 4,241,144.32/3,317.44
  6. Step 6: Final answer
    x = 1,278.44

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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.