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Finding the Fourth Proportional to 4,646.49, 6,965.45 and 2,012.33

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Solution

The fourth proportional to 4,646.49, 6,965.45 and 2,012.33 is: 3,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.49 : 6,965.45 = 2,012.33 : x
  2. Step 2: Convert to fraction form
    4,646.49/6,965.45 = 2,012.33/x
  3. Step 3: Cross multiply
    4,646.49x = 6,965.45 × 2,012.33
  4. Step 4: Simplify right side
    4,646.49x = 14,016,784.00
  5. Step 5: Solve for x
    x = 14,016,784.00/4,646.49
  6. Step 6: Final answer
    x = 3,016.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.