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Finding the Fourth Proportional to 4,842.06, 7,263.09 and 2,892.66

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Solution

The fourth proportional to 4,842.06, 7,263.09 and 2,892.66 is: 4,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.06 : 7,263.09 = 2,892.66 : x
  2. Step 2: Convert to fraction form
    4,842.06/7,263.09 = 2,892.66/x
  3. Step 3: Cross multiply
    4,842.06x = 7,263.09 × 2,892.66
  4. Step 4: Simplify right side
    4,842.06x = 21,009,649.92
  5. Step 5: Solve for x
    x = 21,009,649.92/4,842.06
  6. Step 6: Final answer
    x = 4,338.99

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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.