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Finding the Fourth Proportional to 3,102.49, 4,281.96 and 2,999.94

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Solution

The fourth proportional to 3,102.49, 4,281.96 and 2,999.94 is: 4,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.49 : 4,281.96 = 2,999.94 : x
  2. Step 2: Convert to fraction form
    3,102.49/4,281.96 = 2,999.94/x
  3. Step 3: Cross multiply
    3,102.49x = 4,281.96 × 2,999.94
  4. Step 4: Simplify right side
    3,102.49x = 12,845,623.08
  5. Step 5: Solve for x
    x = 12,845,623.08/3,102.49
  6. Step 6: Final answer
    x = 4,140.42

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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.