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Finding the Fourth Proportional to 3,005.26, 4,150.64 and 2,964.29

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Solution

The fourth proportional to 3,005.26, 4,150.64 and 2,964.29 is: 4,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.26 : 4,150.64 = 2,964.29 : x
  2. Step 2: Convert to fraction form
    3,005.26/4,150.64 = 2,964.29/x
  3. Step 3: Cross multiply
    3,005.26x = 4,150.64 × 2,964.29
  4. Step 4: Simplify right side
    3,005.26x = 12,303,687.30
  5. Step 5: Solve for x
    x = 12,303,687.30/3,005.26
  6. Step 6: Final answer
    x = 4,094.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.