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Finding the Fourth Proportional to 4,309.76, 5,942.76 and 2,910.08

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Solution

The fourth proportional to 4,309.76, 5,942.76 and 2,910.08 is: 4,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.76 : 5,942.76 = 2,910.08 : x
  2. Step 2: Convert to fraction form
    4,309.76/5,942.76 = 2,910.08/x
  3. Step 3: Cross multiply
    4,309.76x = 5,942.76 × 2,910.08
  4. Step 4: Simplify right side
    4,309.76x = 17,293,907.02
  5. Step 5: Solve for x
    x = 17,293,907.02/4,309.76
  6. Step 6: Final answer
    x = 4,012.73

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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.