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Finding the Fourth Proportional to 3,650.16, 5,476.31 and 1,310.28

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Solution

The fourth proportional to 3,650.16, 5,476.31 and 1,310.28 is: 1,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.16 : 5,476.31 = 1,310.28 : x
  2. Step 2: Convert to fraction form
    3,650.16/5,476.31 = 1,310.28/x
  3. Step 3: Cross multiply
    3,650.16x = 5,476.31 × 1,310.28
  4. Step 4: Simplify right side
    3,650.16x = 7,175,477.29
  5. Step 5: Solve for x
    x = 7,175,477.29/3,650.16
  6. Step 6: Final answer
    x = 1,965.80

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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.