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Finding the Fourth Proportional to 4,646.24, 6,965.08 and 2,012.09

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Solution

The fourth proportional to 4,646.24, 6,965.08 and 2,012.09 is: 3,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.24 : 6,965.08 = 2,012.09 : x
  2. Step 2: Convert to fraction form
    4,646.24/6,965.08 = 2,012.09/x
  3. Step 3: Cross multiply
    4,646.24x = 6,965.08 × 2,012.09
  4. Step 4: Simplify right side
    4,646.24x = 14,014,327.96
  5. Step 5: Solve for x
    x = 14,014,327.96/4,646.24
  6. Step 6: Final answer
    x = 3,016.28

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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.