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Finding the Fourth Proportional to 4,965.34, 7,439.41 and 3,013.45

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Solution

The fourth proportional to 4,965.34, 7,439.41 and 3,013.45 is: 4,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.34 : 7,439.41 = 3,013.45 : x
  2. Step 2: Convert to fraction form
    4,965.34/7,439.41 = 3,013.45/x
  3. Step 3: Cross multiply
    4,965.34x = 7,439.41 × 3,013.45
  4. Step 4: Simplify right side
    4,965.34x = 22,418,290.06
  5. Step 5: Solve for x
    x = 22,418,290.06/4,965.34
  6. Step 6: Final answer
    x = 4,514.96

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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.