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Finding the Fourth Proportional to 4,772.88, 7,159.32 and 1,310.22

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Solution

The fourth proportional to 4,772.88, 7,159.32 and 1,310.22 is: 1,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.88 : 7,159.32 = 1,310.22 : x
  2. Step 2: Convert to fraction form
    4,772.88/7,159.32 = 1,310.22/x
  3. Step 3: Cross multiply
    4,772.88x = 7,159.32 × 1,310.22
  4. Step 4: Simplify right side
    4,772.88x = 9,380,284.25
  5. Step 5: Solve for x
    x = 9,380,284.25/4,772.88
  6. Step 6: Final answer
    x = 1,965.33

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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.