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Finding the Fourth Proportional to 4,486.70, 6,194.50 and 3,072.76

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Solution

The fourth proportional to 4,486.70, 6,194.50 and 3,072.76 is: 4,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.70 : 6,194.50 = 3,072.76 : x
  2. Step 2: Convert to fraction form
    4,486.70/6,194.50 = 3,072.76/x
  3. Step 3: Cross multiply
    4,486.70x = 6,194.50 × 3,072.76
  4. Step 4: Simplify right side
    4,486.70x = 19,034,211.82
  5. Step 5: Solve for x
    x = 19,034,211.82/4,486.70
  6. Step 6: Final answer
    x = 4,242.36

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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.