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Finding the Fourth Proportional to 4,675.70, 6,449.75 and 2,996.51

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Solution

The fourth proportional to 4,675.70, 6,449.75 and 2,996.51 is: 4,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.70 : 6,449.75 = 2,996.51 : x
  2. Step 2: Convert to fraction form
    4,675.70/6,449.75 = 2,996.51/x
  3. Step 3: Cross multiply
    4,675.70x = 6,449.75 × 2,996.51
  4. Step 4: Simplify right side
    4,675.70x = 19,326,725.39
  5. Step 5: Solve for x
    x = 19,326,725.39/4,675.70
  6. Step 6: Final answer
    x = 4,133.44

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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.