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Finding the Fourth Proportional to 3,071.97, 4,609.92 and 3,060.63

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Solution

The fourth proportional to 3,071.97, 4,609.92 and 3,060.63 is: 4,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.97 : 4,609.92 = 3,060.63 : x
  2. Step 2: Convert to fraction form
    3,071.97/4,609.92 = 3,060.63/x
  3. Step 3: Cross multiply
    3,071.97x = 4,609.92 × 3,060.63
  4. Step 4: Simplify right side
    3,071.97x = 14,109,259.45
  5. Step 5: Solve for x
    x = 14,109,259.45/3,071.97
  6. Step 6: Final answer
    x = 4,592.90

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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.