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Finding the Fourth Proportional to 3,776.01, 5,662.11 and 1,310.16

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Solution

The fourth proportional to 3,776.01, 5,662.11 and 1,310.16 is: 1,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.01 : 5,662.11 = 1,310.16 : x
  2. Step 2: Convert to fraction form
    3,776.01/5,662.11 = 1,310.16/x
  3. Step 3: Cross multiply
    3,776.01x = 5,662.11 × 1,310.16
  4. Step 4: Simplify right side
    3,776.01x = 7,418,270.04
  5. Step 5: Solve for x
    x = 7,418,270.04/3,776.01
  6. Step 6: Final answer
    x = 1,964.58

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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.