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Finding the Fourth Proportional to 4,048.56, 6,072.84 and 2,315.97

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Solution

The fourth proportional to 4,048.56, 6,072.84 and 2,315.97 is: 3,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.56 : 6,072.84 = 2,315.97 : x
  2. Step 2: Convert to fraction form
    4,048.56/6,072.84 = 2,315.97/x
  3. Step 3: Cross multiply
    4,048.56x = 6,072.84 × 2,315.97
  4. Step 4: Simplify right side
    4,048.56x = 14,064,515.25
  5. Step 5: Solve for x
    x = 14,064,515.25/4,048.56
  6. Step 6: Final answer
    x = 3,473.96

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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.