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Finding the Fourth Proportional to 3,509.50, 4,842.27 and 2,093.71

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Solution

The fourth proportional to 3,509.50, 4,842.27 and 2,093.71 is: 2,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.50 : 4,842.27 = 2,093.71 : x
  2. Step 2: Convert to fraction form
    3,509.50/4,842.27 = 2,093.71/x
  3. Step 3: Cross multiply
    3,509.50x = 4,842.27 × 2,093.71
  4. Step 4: Simplify right side
    3,509.50x = 10,138,298.36
  5. Step 5: Solve for x
    x = 10,138,298.36/3,509.50
  6. Step 6: Final answer
    x = 2,888.81

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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.