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Finding the Fourth Proportional to 4,536, 6,258.12 and 2,964.96

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Solution

The fourth proportional to 4,536, 6,258.12 and 2,964.96 is: 4,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536 : 6,258.12 = 2,964.96 : x
  2. Step 2: Convert to fraction form
    4,536/6,258.12 = 2,964.96/x
  3. Step 3: Cross multiply
    4,536x = 6,258.12 × 2,964.96
  4. Step 4: Simplify right side
    4,536x = 18,555,075.48
  5. Step 5: Solve for x
    x = 18,555,075.48/4,536
  6. Step 6: Final answer
    x = 4,090.63

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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.